{"id":2267,"date":"2020-08-21T19:42:42","date_gmt":"2020-08-21T23:42:42","guid":{"rendered":"https:\/\/opentextbc.ca\/introalgebra\/chapter\/divide-polynomials\/"},"modified":"2025-09-22T19:26:26","modified_gmt":"2025-09-22T23:26:26","slug":"divide-polynomials","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/introalgebra\/chapter\/divide-polynomials\/","title":{"raw":"8.6 Divide Polynomials","rendered":"8.6 Divide Polynomials"},"content":{"raw":"[latexpage]\r\n<div class=\"textbox textbox--learning-objectives\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Learning Objectives<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nBy the end of this section, you will be able to:\r\n<ul>\r\n \t<li>Divide a polynomial by a monomial<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n<h1>Divide a Polynomial by a Monomial<\/h1>\r\n<p id=\"fs-id1169597495901\">In the last chapter, you learned how to divide a monomial by a monomial. As you continue to build up your knowledge of polynomials the next procedure is to divide a polynomial of two or more terms by a <span class=\"no-emphasis\" data-type=\"term\">monomial<\/span>.<\/p>\r\n<p id=\"fs-id1169597414468\">The method we\u2019ll use to divide a polynomial by a monomial is based on the properties of fraction addition. So we\u2019ll start with an example to review fraction addition.<\/p>\r\n\r\n<table id=\"eip-903\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>The sum,<\/td>\r\n<td>\\(\\dfrac{y}{5}+\\dfrac{2}{5}\\),<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>simplifies to<\/td>\r\n<td>\\(\\dfrac{y+2}{5}\\).<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p id=\"fs-id1169597690628\">Now we will do this in reverse to split a single fraction into separate fractions.<\/p>\r\n<p id=\"fs-id1169597555516\">We\u2019ll state the fraction addition property here just as you learned it and in reverse.<\/p>\r\n\r\n<div id=\"fs-id1169597702997\" data-type=\"note\">\r\n<div data-type=\"title\">\r\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Fraction Addition<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<p id=\"fs-id1169597576926\">If \\(a,b\\), and \\(c\\) are numbers where \\(c\\ne 0\\), then<\/p>\r\n\r\n<div id=\"fs-id1169597364210\" class=\"unnumbered\" data-type=\"equation\" data-label=\"\">\\(\\dfrac{a}{c}+\\dfrac{b}{c}=\\dfrac{a+b}{c}\\) and \\(\\dfrac{a+b}{c}=\\dfrac{a}{c}+\\dfrac{b}{c}\\)<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<p id=\"fs-id1169597394144\">We use the form on the left to add fractions and we use the form on the right to divide a polynomial by a monomial.<\/p>\r\n\r\n<table id=\"eip-657\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>For example,<\/td>\r\n<td>\\(\\dfrac{y+2}{5}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>can be written<\/td>\r\n<td>\\(\\dfrac{y}{5}+\\dfrac{2}{5}\\).<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p id=\"fs-id1169597334694\">We use this form of fraction addition to divide polynomials by monomials.<\/p>\r\n\r\n<div id=\"fs-id1169597491344\" data-type=\"note\">\r\n<div data-type=\"title\">\r\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Division of a Polynomial by a Monomial<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nTo divide a polynomial by a monomial, divide each term of the polynomial by the <span class=\"no-emphasis\" data-type=\"term\">monomial<\/span>.\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597466487\" data-type=\"problem\">\r\n<p id=\"fs-id1169597381554\">Find the quotient: \\(\\dfrac{7{y}^{2}+21}{7}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597531097\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<table id=\"eip-958\" class=\"unnumbered unstyled\" style=\"height: 58px;\" summary=\".\">\r\n<tbody>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"height: 14px; width: 276.406px;\"><\/td>\r\n<td style=\"height: 14px; width: 204.406px;\">\\(\\dfrac{7{y}^{2}+21}{7}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 30px;\">\r\n<td style=\"height: 30px; width: 276.406px;\">Divide each term of the numerator by the denominator.<\/td>\r\n<td style=\"height: 30px; width: 204.406px;\">\\(\\dfrac{7{y}^{2}}{7}+\\dfrac{21}{7}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"height: 14px; width: 276.406px;\">Simplify each fraction.<\/td>\r\n<td style=\"height: 14px; width: 204.406px;\">\\({y}^{2}+3\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 1.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597414519\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597366844\" data-type=\"exercise\">\r\n<div id=\"fs-id1169597494486\" data-type=\"problem\">\r\n<p id=\"fs-id1169597518761\">Find the quotient: \\(\\dfrac{8{z}^{2}+24}{4}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597383953\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597344110\">\\(2{z}^{2}+6\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 1.2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597576300\" data-type=\"problem\">\r\n<p id=\"fs-id1169597579154\">Find the quotient: \\(\\dfrac{18{z}^{2}-27}{9}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597379980\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597537992\">\\(2{z}^{2}-3\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<p id=\"fs-id1169597495783\">Remember that division can be represented as a fraction. When you are asked to divide a polynomial by a monomial and it is not already in fraction form, write a fraction with the polynomial in the numerator and the monomial in the denominator.<\/p>\r\n\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597395518\" data-type=\"problem\">\r\n<p id=\"fs-id1169597360676\">Find the quotient: \\(\\left(18{x}^{3}-36{x}^{2}\\right)\\div 6x\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597493630\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<table id=\"eip-560\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>\\(\\left(18{x}^{3}-36{x}^{2}\\right)\\div 6x\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Rewrite as a fraction.<\/td>\r\n<td>\\(\\dfrac{18{x}^{3}-36{x}^{2}}{6x}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide each term of the numerator by the denominator.<\/td>\r\n<td>\\(\\dfrac{18{x}^{3}}{6x}-\\dfrac{36{x}^{2}}{6x}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>\\(3{x}^{2}-6x\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 2.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597457327\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597364029\" data-type=\"exercise\">\r\n<div data-type=\"problem\">\r\n<p id=\"fs-id1169597485217\">Find the quotient: \\(\\left(27{b}^{3}-33{b}^{2}\\right)\\div 3b\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597337165\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597381277\">\\(9{b}^{2}-11b\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 2.2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597380989\" data-type=\"problem\">\r\n<p id=\"fs-id1169597421768\">Find the quotient: \\(\\left(25{y}^{3}-55{y}^{2}\\right)\\div 5y\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597460742\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597507210\">\\(5{y}^{2}-11y\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<p id=\"fs-id1169597494726\">When we divide by a negative, we must be extra careful with the signs.<\/p>\r\n\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597533874\" data-type=\"problem\">\r\n<p id=\"fs-id1169597492601\">Find the quotient: \\(\\dfrac{12{d}^{2}-16d}{-4}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597501851\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<table id=\"eip-992\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>\\(\\dfrac{12{d}^{2}-16d}{-4}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide each term of the numerator by the denominator.<\/td>\r\n<td>\\(\\dfrac{12{d}^{2}}{-4}-\\dfrac{16d}{-4}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify. Remember, subtracting a negative is like adding a positive!<\/td>\r\n<td>\\(-3{d}^{2}+4d\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 3.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597394573\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597373652\" data-type=\"exercise\">\r\n<div id=\"fs-id1169597412822\" data-type=\"problem\">\r\n<p id=\"fs-id1169597352013\">Find the quotient: \\(\\dfrac{25{y}^{2}-15y}{-5}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597497900\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597415973\">\\(-5{y}^{2}+3y\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 3.2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597386661\" data-type=\"problem\">\r\n<p id=\"fs-id1169597388331\">Find the quotient: \\(\\dfrac{42{b}^{2}-18b}{-6}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597514405\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597342466\">\\(-7{b}^{2}+3b\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1169597518545\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597380965\" data-type=\"exercise\">\r\n<div id=\"fs-id1169597514405\" data-type=\"solution\">\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597540593\" data-type=\"problem\">\r\n<p id=\"fs-id1169597500832\">Find the quotient: \\(\\dfrac{105{y}^{5}+75{y}^{3}}{5{y}^{2}}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597415544\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<table id=\"eip-78\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>\\(\\dfrac{105{y}^{5}+75{y}^{3}}{5{y}^{2}}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Separate the terms.<\/td>\r\n<td>\\(\\dfrac{105{y}^{5}}{5{y}^{2}}+\\dfrac{75{y}^{3}}{5{y}^{2}}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>\\(21{y}^{3}+15y\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 4.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597410664\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597513321\" data-type=\"exercise\">\r\n<div id=\"fs-id1169597401022\" data-type=\"problem\">\r\n<p id=\"fs-id1169597333321\">Find the quotient: \\(\\dfrac{60{d}^{7}+24{d}^{5}}{4{d}^{3}}\\).<\/p>\r\n\r\n<\/div>\r\n<div data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597495416\">\\(15{d}^{4}+6{d}^{2}\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 4.2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597387876\" data-type=\"problem\">\r\n<p id=\"fs-id1169597467170\">Find the quotient: \\(\\dfrac{216{p}^{7}-48{p}^{5}}{6{p}^{3}}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597389499\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597408774\">\\(36{p}^{4}-8{p}^{2}\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1169597388034\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597460151\" data-type=\"exercise\">\r\n<div id=\"fs-id1169597389499\" data-type=\"solution\">\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597527007\" data-type=\"problem\">\r\n<p id=\"fs-id1169597505361\">Find the quotient: \\(\\left(15{x}^{3}y-35x{y}^{2}\\right)\\div \\left(-5xy\\right)\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597514617\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<table id=\"eip-802\" class=\"unnumbered unstyled\" summary=\"\/\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>\\(\\left(15{x}^{3}y-35x{y}^{2}\\right)\\div \\left(-5xy\\right)\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Rewrite as a fraction.<\/td>\r\n<td>\\(\\dfrac{15{x}^{3}y-35x{y}^{2}}{-5xy}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Separate the terms.<\/td>\r\n<td>\\(\\dfrac{15{x}^{3}y}{-5xy}-\\dfrac{35x{y}^{2}}{-5xy}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>\\(-3{x}^{2}+7y\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 5.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597460197\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597393585\" data-type=\"exercise\">\r\n<div id=\"fs-id1169597699122\" data-type=\"problem\">\r\n<p id=\"fs-id1169597480855\">Find the quotient: \\(\\left(32{a}^{2}b-16a{b}^{2}\\right)\\div\\left(-8ab\\right)\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597498291\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597388358\">\\(-4a+2b\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 5.2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597383472\" data-type=\"problem\">\r\n<p id=\"fs-id1169597380957\">Find the quotient: \\(\\left(-48{a}^{8}{b}^{4}-36{a}^{6}{b}^{5}\\right)\\div \\left(-6{a}^{3}{b}^{3}\\right)\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597492222\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597492224\">\\(8{a}^{5}b+6{a}^{3}{b}^{2}\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1169597431912\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597338852\" data-type=\"exercise\">\r\n<div id=\"fs-id1169597492222\" data-type=\"solution\">\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597536289\" data-type=\"problem\">\r\n<p id=\"fs-id1169597536291\">Find the quotient: \\(\\dfrac{36{x}^{3}{y}^{2}+27{x}^{2}{y}^{2}-9{x}^{2}{y}^{3}}{9{x}^{2}y}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597445753\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<table id=\"eip-917\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>\\(\\dfrac{36{x}^{3}{y}^{2}+27{x}^{2}{y}^{2}-9{x}^{2}{y}^{3}}{9{x}^{2}y}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Separate the terms.<\/td>\r\n<td>\\(\\dfrac{36{x}^{3}{y}^{2}}{9{x}^{2}y}+\\dfrac{27{x}^{2}{y}^{2}}{9{x}^{2}y}-\\dfrac{9{x}^{2}{y}^{3}}{9{x}^{2}y}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>\\(4xy+3y-{y}^{2}\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n&nbsp;\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 6.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597461002\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597687906\" data-type=\"exercise\">\r\n<div id=\"fs-id1169597687908\" data-type=\"problem\">\r\n<p id=\"fs-id1169597517317\">Find the quotient: \\(\\dfrac{40{x}^{3}{y}^{2}+24{x}^{2}{y}^{2}-16{x}^{2}{y}^{3}}{8{x}^{2}y}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597466727\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597507457\">\\(5xy+3y-2{y}^{2}\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 6.2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597380051\" data-type=\"problem\">\r\n<p id=\"fs-id1169597519110\">Find the quotient: \\(\\dfrac{35{a}^{4}{b}^{2}+14{a}^{4}{b}^{3}-42{a}^{2}{b}^{4}}{7{a}^{2}{b}^{2}}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597468109\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597468111\">\\(5{a}^{2}+2{a}^{2}b-6{b}^{2}\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1169597497473\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597380049\" data-type=\"exercise\">\r\n<div id=\"fs-id1169597468109\" data-type=\"solution\">\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 7<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597539295\" data-type=\"problem\">\r\n<p id=\"fs-id1169597539514\">Find the quotient: \\(\\dfrac{10{x}^{2}+5x-20}{5x}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597538674\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<table id=\"eip-848\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>\\(\\dfrac{10{x}^{2}+5x-20}{5x}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Separate the terms.<\/td>\r\n<td>\\(\\dfrac{10{x}^{2}}{5x}+\\dfrac{5x}{5x}-\\dfrac{20}{5x}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>\\(2x+1+\\dfrac{4}{x}\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 7.1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597700078\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1169597700081\" data-type=\"exercise\">\r\n<div id=\"fs-id1169597525470\" data-type=\"problem\">\r\n<p id=\"fs-id1169597525472\">Find the quotient: \\(\\dfrac{18{c}^{2}+6c-9}{6c}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597481131\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597481133\">\\(3c+1-\\dfrac{3}{2c}\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 7.2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1169597576435\" data-type=\"problem\">\r\n<p id=\"fs-id1169597480452\">Find the quotient: \\(\\dfrac{10{d}^{2}-5d-2}{5d}\\).<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1169597691492\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1169597691494\">\\(2d-1-\\dfrac{2}{5d}\\)<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1169597340263\" class=\"media-2\" data-type=\"note\">\r\n<p id=\"fs-id1169597340267\">Access these online resources for additional instruction and practice with dividing polynomials:<\/p>\r\n\r\n<ul id=\"fs-id1169597340270\" data-display=\"block\">\r\n \t<li><a href=\"https:\/\/openstax.org\/l\/25DividePolyMo1\">Divide a Polynomial by a Monomial<\/a><\/li>\r\n \t<li><a href=\"https:\/\/openstax.org\/l\/25DividePolyMo2\">Divide a Polynomial by a Monomial 2<\/a><\/li>\r\n<\/ul>\r\n<\/div>\r\n<h1>Key Concepts<\/h1>\r\n<ul id=\"fs-id1169597536569\" data-bullet-style=\"bullet\">\r\n \t<li><strong data-effect=\"bold\">Fraction Addition<\/strong>\r\n<ul id=\"fs-id1169597528209\" data-bullet-style=\"open-circle\">\r\n \t<li>If \\(a,b\\), and \\(c\\) are numbers where \\(c\\ne 0\\), then\r\n\\(\\dfrac{a}{c}+\\dfrac{b}{c}=\\dfrac{a+b}{c}\\) and \\(\\dfrac{a+b}{c}=\\frac{a}{c}+\\dfrac{b}{c}\\)<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong data-effect=\"bold\">Division of a Polynomial by a Monomial<\/strong>\r\n<ul id=\"fs-id1169597689368\" data-bullet-style=\"open-circle\">\r\n \t<li>To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<h1>Practice Makes Perfect<\/h1>\r\n<h2>Dividing Polynomial by Monomial<\/h2>\r\nIn the following exercises, divide each polynomial by the monomial.\r\n<table style=\"border-collapse: collapse; width: 100%; height: 196px;\" border=\"0\">\r\n<tbody>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">1. \\(\\frac{30b+75}{5}\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">2.\\(\\frac{45y+36}{9}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">3. \\(\\frac{42{x}^{2}-14x}{7}\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">4. \\(\\frac{8{d}^{2}-4d}{2}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">5. \\(\\left(55{w}^{2}-10w\\right)\\div5w\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">6. \\(\\left(16{y}^{2}-20y\\right)\\div4y\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">7. \\(\\left(8{x}^{3}+6{x}^{2}\\right)\\div2x\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">8. \\(\\left(9{n}^{4}+6{n}^{3}\\right)\\div3n\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">9. \\(\\frac{20{b}^{2}-12b}{-4}\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">10. \\(\\frac{18{y}^{2}-12y}{-6}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">11. \\(\\frac{51{m}^{4}+72{m}^{3}}{-3}\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">12. \\(\\frac{35{a}^{4}+65{a}^{2}}{-5}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">13. \\(\\frac{412{z}^{8}-48{z}^{5}}{4{z}^{3}}\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">14. \\(\\frac{310{y}^{4}-200{y}^{3}}{5{y}^{2}}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">15. \\(\\frac{51{y}^{4}+42{y}^{2}}{3{y}^{2}}\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">16. \\(\\frac{46{x}^{3}+38{x}^{2}}{2{x}^{2}}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">17. \\(\\left(35{x}^{4}-21x\\right)\\div \\left(-7x\\right)\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">18. \\(\\left(24{p}^{2}-33p\\right)\\div \\left(-3p\\right)\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">19. \\(\\left(48{y}^{4}-24{y}^{3}\\right)\\div \\left(-8{y}^{2}\\right)\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">20. \\(\\left(63{m}^{4}-42{m}^{3}\\right)\\div \\left(-7{m}^{2}\\right)\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">21. \\(\\left(45{x}^{3}{y}^{4}+60x{y}^{2}\\right)\\div \\left(5xy\\right)\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">22. \\(\\left(63{a}^{2}{b}^{3}+72a{b}^{4}\\right)\\div \\left(9ab\\right)\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">23. \\(\\frac{49{c}^{2}{d}^{2}-70{c}^{3}{d}^{3}-35{c}^{2}{d}^{4}}{7c{d}^{2}}\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">24. \\(\\frac{52{p}^{5}{q}^{4}+36{p}^{4}{q}^{3}-64{p}^{3}{q}^{2}}{4{p}^{2}q}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">25. \\(\\frac{72{r}^{5}{s}^{2}+132{r}^{4}{s}^{3}-96{r}^{3}{s}^{5}}{12{r}^{2}{s}^{2}}\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">26. \\(\\frac{66{x}^{3}{y}^{2}-110{x}^{2}{y}^{3}-44{x}^{4}{y}^{3}}{11{x}^{2}{y}^{2}}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"width: 50%; height: 14px;\">27. \\(\\frac{12{q}^{2}+3q-1}{3q}\\)<\/td>\r\n<td style=\"width: 50%; height: 14px;\">28. \\(\\frac{4{w}^{2}+2w-5}{2w}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\">29. \\(\\frac{20{y}^{2}+12y-1}{-4y}\\)<\/td>\r\n<td style=\"width: 50%;\">30. \\(\\frac{10{x}^{2}+5x-4}{-5x}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\">31. \\(\\frac{63{a}^{3}-108{a}^{2}+99a}{9{a}^{2}}\\)<\/td>\r\n<td style=\"width: 50%;\">32. \\(\\frac{36{p}^{3}+18{p}^{2}-12p}{6{p}^{2}}\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<h2>Everyday Math<\/h2>\r\n<div id=\"fs-id1169597517358\" data-type=\"problem\">\r\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 49.8159%;\">33. Handshakes At a company meeting, every employee shakes hands with every other employee. The number of handshakes is given by the expression \\(\\frac{{n}^{2}-n}{2}\\), where \\(n\\) represents the number of employees. How many handshakes will there be if there are 10 employees at the meeting?<\/td>\r\n<td style=\"width: 50.0614%;\">\r\n<p id=\"fs-id1169597533048\">34. Average cost Pictures Plus produces digital albums. The company\u2019s average cost (in dollars) to make \\(x\\) albums is given by the expression \\(\\frac{7x+500}{x}\\).<\/p>\r\n\r\n<ol id=\"fs-id1168745404763\" type=\"a\">\r\n \t<li>Find the quotient by dividing the numerator by the denominator.<\/li>\r\n \t<li>What will the average cost (in dollars) be to produce 20 albums?<\/li>\r\n<\/ol>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<h2>Writing Exercises<\/h2>\r\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 50%;\">35. Divide \\(\\frac{10{x}^{2}+x-12}{2x}\\) and explain with words how you get each term of the quotient.<\/td>\r\n<td style=\"width: 50%;\">36. James divides \\(48y+6\\) by 6 this way: \\(\\frac{48y+\\overline{)6}}{\\overline{)6}}=48y\\). What is wrong with his reasoning?<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<h1>Answers<\/h1>\r\n<table style=\"border-collapse: collapse; width: 100%; height: 160px;\" border=\"0\">\r\n<tbody>\r\n<tr style=\"height: 16px;\">\r\n<td style=\"width: 33.3333%; height: 16px;\">1. \\(6b+15\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">3. \\(6{x}^{2}-2x\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">5. \\(11w-2\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px;\">\r\n<td style=\"width: 33.3333%; height: 16px;\">7. \\(4{x}^{2}+3x\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">9. \\(-5{b}^{2}+3b\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">11.\u00a0\\(-17{m}^{4}-24{m}^{3}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px;\">\r\n<td style=\"width: 33.3333%; height: 16px;\">13. \\(103{z}^{5}-12{z}^{2}\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">15. \\(17{y}^{2}+14\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">17. \\(-5{x}^{3}+3\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px;\">\r\n<td style=\"width: 33.3333%; height: 16px;\">19. \\(-6{y}^{2}+3y\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">21. \\(9{x}^{2}{y}^{3}+12y\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">23. \\(7c-10{c}^{2}d-5c{d}^{2}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px;\">\r\n<td style=\"width: 33.3333%; height: 16px;\">25. \\(6{r}^{3}+11{r}^{2}s-8r{s}^{3}\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">27. \\(4q+1-\\frac{1}{3q}\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">29. \\(-5y-3+\\frac{1}{4y}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px;\">\r\n<td style=\"width: 33.3333%; height: 16px;\">31. \\(7a-12+\\frac{11}{a}\\)<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">33. 45<\/td>\r\n<td style=\"width: 33.3333%; height: 16px;\">35.\u00a0Answers will vary.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<h1>Attributions<\/h1>\r\nThis chapter has been adapted from \u201cDivide Polynomials\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/elementary-algebra\"><em>Elementary Algebra<\/em> (OpenStax)<\/a> by Lynn Marecek and MaryAnne Anthony-Smith, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.\u00a0<!-- pb_fixme -->","rendered":"<div class=\"textbox textbox--learning-objectives\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Learning Objectives<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li>Divide a polynomial by a monomial<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1>Divide a Polynomial by a Monomial<\/h1>\n<p id=\"fs-id1169597495901\">In the last chapter, you learned how to divide a monomial by a monomial. As you continue to build up your knowledge of polynomials the next procedure is to divide a polynomial of two or more terms by a <span class=\"no-emphasis\" data-type=\"term\">monomial<\/span>.<\/p>\n<p id=\"fs-id1169597414468\">The method we\u2019ll use to divide a polynomial by a monomial is based on the properties of fraction addition. So we\u2019ll start with an example to review fraction addition.<\/p>\n<table id=\"eip-903\" summary=\".\">\n<tbody>\n<tr>\n<td>The sum,<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c8b869d2f6139a4c8e711ede0e1dc085_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#121;&#125;&#123;&#53;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"44\" style=\"vertical-align: -12px;\" \/>,<\/td>\n<\/tr>\n<tr>\n<td>simplifies to<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-365521b4132519ec39f0e9a0b99649e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#121;&#43;&#50;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"40\" style=\"vertical-align: -12px;\" \/>.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1169597690628\">Now we will do this in reverse to split a single fraction into separate fractions.<\/p>\n<p id=\"fs-id1169597555516\">We\u2019ll state the fraction addition property here just as you learned it and in reverse.<\/p>\n<div id=\"fs-id1169597702997\" data-type=\"note\">\n<div data-type=\"title\">\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Fraction Addition<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1169597576926\">If <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bfaed44949cf9cfbeb3445de33aabd3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#44;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"25\" style=\"vertical-align: -4px;\" \/>, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\" \/> are numbers where <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c540d76c127a15e856d4b530b506abdb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#92;&#110;&#101;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"40\" style=\"vertical-align: -4px;\" \/>, then<\/p>\n<div id=\"fs-id1169597364210\" class=\"unnumbered\" data-type=\"equation\" data-label=\"\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c232a812f887cfbc94c250ce2de5abe6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#125;&#123;&#99;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#98;&#125;&#123;&#99;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#43;&#98;&#125;&#123;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"109\" style=\"vertical-align: -12px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-83f34b17f0ec09079fd090974e8179c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#43;&#98;&#125;&#123;&#99;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#125;&#123;&#99;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#98;&#125;&#123;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"109\" style=\"vertical-align: -12px;\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1169597394144\">We use the form on the left to add fractions and we use the form on the right to divide a polynomial by a monomial.<\/p>\n<table id=\"eip-657\" summary=\".\">\n<tbody>\n<tr>\n<td>For example,<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-365521b4132519ec39f0e9a0b99649e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#121;&#43;&#50;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"40\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>can be written<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c8b869d2f6139a4c8e711ede0e1dc085_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#121;&#125;&#123;&#53;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"44\" style=\"vertical-align: -12px;\" \/>.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1169597334694\">We use this form of fraction addition to divide polynomials by monomials.<\/p>\n<div id=\"fs-id1169597491344\" data-type=\"note\">\n<div data-type=\"title\">\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Division of a Polynomial by a Monomial<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>To divide a polynomial by a monomial, divide each term of the polynomial by the <span class=\"no-emphasis\" data-type=\"term\">monomial<\/span>.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597466487\" data-type=\"problem\">\n<p id=\"fs-id1169597381554\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9f83a68ef714ec21c30f14e1fed86c5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#55;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#43;&#50;&#49;&#125;&#123;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"66\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597531097\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-958\" class=\"unnumbered unstyled\" style=\"height: 58px;\" summary=\".\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 276.406px;\"><\/td>\n<td style=\"height: 14px; width: 204.406px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9f83a68ef714ec21c30f14e1fed86c5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#55;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#43;&#50;&#49;&#125;&#123;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"66\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"height: 30px; width: 276.406px;\">Divide each term of the numerator by the denominator.<\/td>\n<td style=\"height: 30px; width: 204.406px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9981d23ef233de3e68e246747d834a82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#55;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#55;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#49;&#125;&#123;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"69\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 276.406px;\">Simplify each fraction.<\/td>\n<td style=\"height: 14px; width: 204.406px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-cc3c8c1ea4f321fb2c81566f34406bfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#43;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"48\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597414519\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597366844\" data-type=\"exercise\">\n<div id=\"fs-id1169597494486\" data-type=\"problem\">\n<p id=\"fs-id1169597518761\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-eb37f179b093a7faed6b35cf3b4e43c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#56;&#123;&#122;&#125;&#94;&#123;&#50;&#125;&#43;&#50;&#52;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"65\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597383953\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597344110\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c4dbbf8c847d91668870bef21812f346_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#123;&#122;&#125;&#94;&#123;&#50;&#125;&#43;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"56\" style=\"vertical-align: -2px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597576300\" data-type=\"problem\">\n<p id=\"fs-id1169597579154\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-77982a8971e8b28f0d93c1e679137619_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#56;&#123;&#122;&#125;&#94;&#123;&#50;&#125;&#45;&#50;&#55;&#125;&#123;&#57;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"74\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597379980\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597537992\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e97d3bcccaeb31137244e863ff3c3943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#123;&#122;&#125;&#94;&#123;&#50;&#125;&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1169597495783\">Remember that division can be represented as a fraction. When you are asked to divide a polynomial by a monomial and it is not already in fraction form, write a fraction with the polynomial in the numerator and the monomial in the denominator.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597395518\" data-type=\"problem\">\n<p id=\"fs-id1169597360676\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4c78ff585c570c22bed89463449bb6f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#49;&#56;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#45;&#51;&#54;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#54;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"148\" style=\"vertical-align: -7px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597493630\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-560\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4c78ff585c570c22bed89463449bb6f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#49;&#56;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#45;&#51;&#54;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#54;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"148\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Rewrite as a fraction.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c74694b6a75ade7e5d61c44514cdf7f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#56;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#45;&#51;&#54;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#54;&#120;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"93\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Divide each term of the numerator by the denominator.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b09248ec4f524d57c74264a5fc204f53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#56;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#54;&#120;&#125;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#54;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#54;&#120;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"97\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2f4d7b28273c13dc40137ab8da9ac129_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#45;&#54;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"67\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597457327\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597364029\" data-type=\"exercise\">\n<div data-type=\"problem\">\n<p id=\"fs-id1169597485217\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8e81d9b541973314babdde11310868f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#50;&#55;&#123;&#98;&#125;&#94;&#123;&#51;&#125;&#45;&#51;&#51;&#123;&#98;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#51;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"141\" style=\"vertical-align: -7px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597337165\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597381277\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-25835a49e5d8b21d3b79fddb293ea23e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#123;&#98;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#49;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"72\" style=\"vertical-align: -1px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597380989\" data-type=\"problem\">\n<p id=\"fs-id1169597421768\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-91659b9ac5d4f9861fddb388280b6cb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#50;&#53;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#45;&#53;&#53;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#53;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"145\" style=\"vertical-align: -7px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597460742\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597507210\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8ba0c6d62c7a3a6fc623d7bcd63ffea6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#49;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1169597494726\">When we divide by a negative, we must be extra careful with the signs.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597533874\" data-type=\"problem\">\n<p id=\"fs-id1169597492601\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9f0f9319b843c11105c8233177a1bd9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#50;&#123;&#100;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#54;&#100;&#125;&#123;&#45;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"84\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597501851\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-992\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9f0f9319b843c11105c8233177a1bd9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#50;&#123;&#100;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#54;&#100;&#125;&#123;&#45;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"84\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Divide each term of the numerator by the denominator.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-042ade6bb0aa981b37620c8de7b7ac6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#50;&#123;&#100;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#45;&#52;&#125;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#54;&#100;&#125;&#123;&#45;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"88\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify. Remember, subtracting a negative is like adding a positive!<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c9f130b9e0d60ce78ed3dfa8aa7045f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#51;&#123;&#100;&#125;&#94;&#123;&#50;&#125;&#43;&#52;&#100;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"79\" style=\"vertical-align: -2px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597394573\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597373652\" data-type=\"exercise\">\n<div id=\"fs-id1169597412822\" data-type=\"problem\">\n<p id=\"fs-id1169597352013\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-1c1aba66349cb660c55d554b482af9e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#53;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#53;&#121;&#125;&#123;&#45;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"84\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597497900\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597415973\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b8a3d37e294106f362cf97a98c0c5f79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#53;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#43;&#51;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"78\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597386661\" data-type=\"problem\">\n<p id=\"fs-id1169597388331\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-034507f6489315283833941937736301_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#50;&#123;&#98;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#56;&#98;&#125;&#123;&#45;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"81\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597514405\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597342466\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-92135336b28a4faa1d705fadb5d0082c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#55;&#123;&#98;&#125;&#94;&#123;&#50;&#125;&#43;&#51;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"76\" style=\"vertical-align: -2px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597518545\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597380965\" data-type=\"exercise\">\n<div id=\"fs-id1169597514405\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597540593\" data-type=\"problem\">\n<p id=\"fs-id1169597500832\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-76c65ad156d266c6add206ceb502276c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#53;&#123;&#121;&#125;&#94;&#123;&#53;&#125;&#43;&#55;&#53;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#53;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"101\" style=\"vertical-align: -16px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597415544\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-78\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-76c65ad156d266c6add206ceb502276c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#53;&#123;&#121;&#125;&#94;&#123;&#53;&#125;&#43;&#55;&#53;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#53;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"101\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Separate the terms.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-19e076961f760a6022bb257b7aa5d7ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#53;&#123;&#121;&#125;&#94;&#123;&#53;&#125;&#125;&#123;&#53;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#55;&#53;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#53;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"104\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-be27cef4bdcb928fce49883288b86e8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#49;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#43;&#49;&#53;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597410664\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597513321\" data-type=\"exercise\">\n<div id=\"fs-id1169597401022\" data-type=\"problem\">\n<p id=\"fs-id1169597333321\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e2765732727fa01e8b97e5915ca9820c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#48;&#123;&#100;&#125;&#94;&#123;&#55;&#125;&#43;&#50;&#52;&#123;&#100;&#125;&#94;&#123;&#53;&#125;&#125;&#123;&#52;&#123;&#100;&#125;&#94;&#123;&#51;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"91\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597495416\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-04c25f6aae12e4e112210aa56c0b8b74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#53;&#123;&#100;&#125;&#94;&#123;&#52;&#125;&#43;&#54;&#123;&#100;&#125;&#94;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"80\" style=\"vertical-align: -2px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597387876\" data-type=\"problem\">\n<p id=\"fs-id1169597467170\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b2873d4f868d21295df7dd21857fd131_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#49;&#54;&#123;&#112;&#125;&#94;&#123;&#55;&#125;&#45;&#52;&#56;&#123;&#112;&#125;&#94;&#123;&#53;&#125;&#125;&#123;&#54;&#123;&#112;&#125;&#94;&#123;&#51;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"100\" style=\"vertical-align: -16px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597389499\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597408774\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-a0065d32475e5f37fe495fab4f4751b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#54;&#123;&#112;&#125;&#94;&#123;&#52;&#125;&#45;&#56;&#123;&#112;&#125;&#94;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"81\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597388034\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597460151\" data-type=\"exercise\">\n<div id=\"fs-id1169597389499\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597527007\" data-type=\"problem\">\n<p id=\"fs-id1169597505361\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4a185ea7eb2cc044c8e98d404238e4dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#49;&#53;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#121;&#45;&#51;&#53;&#120;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#53;&#120;&#121;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"202\" style=\"vertical-align: -7px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597514617\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-802\" class=\"unnumbered unstyled\" summary=\"\/\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4a185ea7eb2cc044c8e98d404238e4dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#49;&#53;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#121;&#45;&#51;&#53;&#120;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#53;&#120;&#121;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"202\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Rewrite as a fraction.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-73f80b47b7021e07a74fdcf818d273e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#53;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#121;&#45;&#51;&#53;&#120;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#45;&#53;&#120;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"112\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Separate the terms.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-6e6d1b308351754a3234fd1f466aeefd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#53;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#121;&#125;&#123;&#45;&#53;&#120;&#121;&#125;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#53;&#120;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#45;&#53;&#120;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"115\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-06903b1b7dccedc68f70427a0a2bfbb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#51;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#43;&#55;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597460197\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597393585\" data-type=\"exercise\">\n<div id=\"fs-id1169597699122\" data-type=\"problem\">\n<p id=\"fs-id1169597480855\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-a40ae818c17e5f7822bacfab36d21012_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#51;&#50;&#123;&#97;&#125;&#94;&#123;&#50;&#125;&#98;&#45;&#49;&#54;&#97;&#123;&#98;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#56;&#97;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"195\" style=\"vertical-align: -7px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597498291\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597388358\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-19ae53580a06eeabc8eb6709f6e70c3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#52;&#97;&#43;&#50;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"70\" style=\"vertical-align: -2px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597383472\" data-type=\"problem\">\n<p id=\"fs-id1169597380957\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-21d06424531bd8309f11321dd5b0c494_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#52;&#56;&#123;&#97;&#125;&#94;&#123;&#56;&#125;&#123;&#98;&#125;&#94;&#123;&#52;&#125;&#45;&#51;&#54;&#123;&#97;&#125;&#94;&#123;&#54;&#125;&#123;&#98;&#125;&#94;&#123;&#53;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#54;&#123;&#97;&#125;&#94;&#123;&#51;&#125;&#123;&#98;&#125;&#94;&#123;&#51;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"241\" style=\"vertical-align: -7px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597492222\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597492224\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4e696306ec587c9a7ccdd6bba7d85536_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#123;&#97;&#125;&#94;&#123;&#53;&#125;&#98;&#43;&#54;&#123;&#97;&#125;&#94;&#123;&#51;&#125;&#123;&#98;&#125;&#94;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"96\" style=\"vertical-align: -2px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597431912\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597338852\" data-type=\"exercise\">\n<div id=\"fs-id1169597492222\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597536289\" data-type=\"problem\">\n<p id=\"fs-id1169597536291\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-96ad868a8d46c120e816341e2c93d974_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#54;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#43;&#50;&#55;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#45;&#57;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#57;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"193\" style=\"vertical-align: -16px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597445753\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-917\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-96ad868a8d46c120e816341e2c93d974_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#54;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#43;&#50;&#55;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#45;&#57;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#57;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"193\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Separate the terms.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8c72eb95a7b34f44fdb22e6db1cd8b26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#54;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#57;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#121;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#55;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#57;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#121;&#125;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#57;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"200\" style=\"vertical-align: -16px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d9c84be04783fd3b3ccea416f00a88cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#120;&#121;&#43;&#51;&#121;&#45;&#123;&#121;&#125;&#94;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597461002\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597687906\" data-type=\"exercise\">\n<div id=\"fs-id1169597687908\" data-type=\"problem\">\n<p id=\"fs-id1169597517317\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9bb1313351d226cbaeeed9ee6922d3d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#48;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#43;&#50;&#52;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#54;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#56;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"202\" style=\"vertical-align: -16px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597466727\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597507457\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e7734b3086f30433ed69b021dbe0d673_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#120;&#121;&#43;&#51;&#121;&#45;&#50;&#123;&#121;&#125;&#94;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597380051\" data-type=\"problem\">\n<p id=\"fs-id1169597519110\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-59388e9671d9668902d81572be2bc1b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#53;&#123;&#97;&#125;&#94;&#123;&#52;&#125;&#123;&#98;&#125;&#94;&#123;&#50;&#125;&#43;&#49;&#52;&#123;&#97;&#125;&#94;&#123;&#52;&#125;&#123;&#98;&#125;&#94;&#123;&#51;&#125;&#45;&#52;&#50;&#123;&#97;&#125;&#94;&#123;&#50;&#125;&#123;&#98;&#125;&#94;&#123;&#52;&#125;&#125;&#123;&#55;&#123;&#97;&#125;&#94;&#123;&#50;&#125;&#123;&#98;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"194\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597468109\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597468111\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-6da87d0a8e66270d95acc789bec57b08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#123;&#97;&#125;&#94;&#123;&#50;&#125;&#43;&#50;&#123;&#97;&#125;&#94;&#123;&#50;&#125;&#98;&#45;&#54;&#123;&#98;&#125;&#94;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"127\" style=\"vertical-align: -2px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597497473\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597380049\" data-type=\"exercise\">\n<div id=\"fs-id1169597468109\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 7<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597539295\" data-type=\"problem\">\n<p id=\"fs-id1169597539514\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7d7cf720446bf027b315781904339576_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#43;&#53;&#120;&#45;&#50;&#48;&#125;&#123;&#53;&#120;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"116\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597538674\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-848\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7d7cf720446bf027b315781904339576_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#43;&#53;&#120;&#45;&#50;&#48;&#125;&#123;&#53;&#120;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"116\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Separate the terms.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7b330afafe9f16f67be4337a91b7dd55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#53;&#120;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#120;&#125;&#123;&#53;&#120;&#125;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#48;&#125;&#123;&#53;&#120;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"125\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-19cce3c0bdbad3d0e10cc7ade6e05623_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#43;&#49;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#120;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"84\" style=\"vertical-align: -12px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597700078\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597700081\" data-type=\"exercise\">\n<div id=\"fs-id1169597525470\" data-type=\"problem\">\n<p id=\"fs-id1169597525472\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f69c7f58c20d501996b2b9862910cf5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#56;&#123;&#99;&#125;&#94;&#123;&#50;&#125;&#43;&#54;&#99;&#45;&#57;&#125;&#123;&#54;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"102\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597481131\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597481133\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-25e99b6f3653b70c4131ca170484fbf4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#99;&#43;&#49;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#50;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"88\" style=\"vertical-align: -12px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597576435\" data-type=\"problem\">\n<p id=\"fs-id1169597480452\">Find the quotient: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7d790668286b33ff36daf9556f955bb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#123;&#100;&#125;&#94;&#123;&#50;&#125;&#45;&#53;&#100;&#45;&#50;&#125;&#123;&#53;&#100;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"105\" style=\"vertical-align: -12px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597691492\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1169597691494\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e3666efac158a6da4f1327da7719e51b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#100;&#45;&#49;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#100;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"91\" style=\"vertical-align: -12px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597340263\" class=\"media-2\" data-type=\"note\">\n<p id=\"fs-id1169597340267\">Access these online resources for additional instruction and practice with dividing polynomials:<\/p>\n<ul id=\"fs-id1169597340270\" data-display=\"block\">\n<li><a href=\"https:\/\/openstax.org\/l\/25DividePolyMo1\">Divide a Polynomial by a Monomial<\/a><\/li>\n<li><a href=\"https:\/\/openstax.org\/l\/25DividePolyMo2\">Divide a Polynomial by a Monomial 2<\/a><\/li>\n<\/ul>\n<\/div>\n<h1>Key Concepts<\/h1>\n<ul id=\"fs-id1169597536569\" data-bullet-style=\"bullet\">\n<li><strong data-effect=\"bold\">Fraction Addition<\/strong>\n<ul id=\"fs-id1169597528209\" data-bullet-style=\"open-circle\">\n<li>If <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bfaed44949cf9cfbeb3445de33aabd3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#44;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"25\" style=\"vertical-align: -4px;\" \/>, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\" \/> are numbers where <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c540d76c127a15e856d4b530b506abdb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#92;&#110;&#101;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"40\" style=\"vertical-align: -4px;\" \/>, then<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c232a812f887cfbc94c250ce2de5abe6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#125;&#123;&#99;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#98;&#125;&#123;&#99;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#43;&#98;&#125;&#123;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"109\" style=\"vertical-align: -12px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-39cb4fe4fedf5a9b3d82a6298558df17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#43;&#98;&#125;&#123;&#99;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#97;&#125;&#123;&#99;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#98;&#125;&#123;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"107\" style=\"vertical-align: -12px;\" \/><\/li>\n<\/ul>\n<\/li>\n<li><strong data-effect=\"bold\">Division of a Polynomial by a Monomial<\/strong>\n<ul id=\"fs-id1169597689368\" data-bullet-style=\"open-circle\">\n<li>To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h1>Practice Makes Perfect<\/h1>\n<h2>Dividing Polynomial by Monomial<\/h2>\n<p>In the following exercises, divide each polynomial by the monomial.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 196px;\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">1. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7bf229e77a2e440ac133377879131bb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#48;&#98;&#43;&#55;&#53;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"45\" style=\"vertical-align: -6px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">2.<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ace88a587faaf5ded1aa48e8b8110711_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#53;&#121;&#43;&#51;&#54;&#125;&#123;&#57;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"46\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">3. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8a5887128d8d002eba63a7abd61bee94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#50;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#52;&#120;&#125;&#123;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"61\" style=\"vertical-align: -6px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">4. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4501cceb561d9078b18fd7ecd94eca5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#56;&#123;&#100;&#125;&#94;&#123;&#50;&#125;&#45;&#52;&#100;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"47\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">5. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-80fd11e8af16cd0206fa9e5e840fdc3d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#53;&#53;&#123;&#119;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#48;&#119;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#53;&#119;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"149\" style=\"vertical-align: -7px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">6. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-77b31feca8698cd80904e6f8df322e00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#49;&#54;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#45;&#50;&#48;&#121;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#52;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"137\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">7. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d41ee1583d3fff31a3bcd6d8e14dd575_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#56;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#43;&#54;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#50;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"130\" style=\"vertical-align: -7px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">8. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-cc399d9062095aaf82151bc4d3add4d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#57;&#123;&#110;&#125;&#94;&#123;&#52;&#125;&#43;&#54;&#123;&#110;&#125;&#94;&#123;&#51;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#51;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"132\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">9. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-fd63c45ac3b8b8461503e00b08de0ab8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#48;&#123;&#98;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#50;&#98;&#125;&#123;&#45;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"57\" style=\"vertical-align: -6px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">10. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e9944032b7e9315a25c5907cb121207b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#56;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#50;&#121;&#125;&#123;&#45;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"60\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">11. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-6305d313630a1d203a5471ee3b4c36d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#49;&#123;&#109;&#125;&#94;&#123;&#52;&#125;&#43;&#55;&#50;&#123;&#109;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#45;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"77\" style=\"vertical-align: -6px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">12. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d1a47f24936f49bbef9c8530e8c9cdea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#53;&#123;&#97;&#125;&#94;&#123;&#52;&#125;&#43;&#54;&#53;&#123;&#97;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#45;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"67\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">13. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-99c0b93be0412c8af85020863262da39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#49;&#50;&#123;&#122;&#125;&#94;&#123;&#56;&#125;&#45;&#52;&#56;&#123;&#122;&#125;&#94;&#123;&#53;&#125;&#125;&#123;&#52;&#123;&#122;&#125;&#94;&#123;&#51;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"73\" style=\"vertical-align: -7px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">14. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5824153a2bf7e69a7d2bfede039dc8cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#49;&#48;&#123;&#121;&#125;&#94;&#123;&#52;&#125;&#45;&#50;&#48;&#48;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#53;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"81\" style=\"vertical-align: -10px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">15. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2a0704ca4685ccc8af34c4d9b3d0b13c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#49;&#123;&#121;&#125;&#94;&#123;&#52;&#125;&#43;&#52;&#50;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#51;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"67\" style=\"vertical-align: -10px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">16. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8f4650194f3a32943b1ebc84ffbc84cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#54;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#43;&#51;&#56;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#50;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"68\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">17. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-dc551aea49b545741be8ed537ab495ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#51;&#53;&#123;&#120;&#125;&#94;&#123;&#52;&#125;&#45;&#50;&#49;&#120;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#55;&#120;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"167\" style=\"vertical-align: -7px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">18. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-71f9edb71180c77796b6e031673b58d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#50;&#52;&#123;&#112;&#125;&#94;&#123;&#50;&#125;&#45;&#51;&#51;&#112;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#51;&#112;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"163\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">19. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-081da96fe10d95eb61e7d9776397da4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#52;&#56;&#123;&#121;&#125;&#94;&#123;&#52;&#125;&#45;&#50;&#52;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#56;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"181\" style=\"vertical-align: -7px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">20. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7f0b69763a69d29f2086f0ec396b1859_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#54;&#51;&#123;&#109;&#125;&#94;&#123;&#52;&#125;&#45;&#52;&#50;&#123;&#109;&#125;&#94;&#123;&#51;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#55;&#123;&#109;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"200\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">21. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0e3465c9b7772ca079cf15f86ec476fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#52;&#53;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#123;&#121;&#125;&#94;&#123;&#52;&#125;&#43;&#54;&#48;&#120;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#92;&#108;&#101;&#102;&#116;&#40;&#53;&#120;&#121;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"196\" style=\"vertical-align: -7px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">22. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0a1178e82212069899ffdb6b5a20cff4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#54;&#51;&#123;&#97;&#125;&#94;&#123;&#50;&#125;&#123;&#98;&#125;&#94;&#123;&#51;&#125;&#43;&#55;&#50;&#97;&#123;&#98;&#125;&#94;&#123;&#52;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#100;&#105;&#118;&#32;&#92;&#108;&#101;&#102;&#116;&#40;&#57;&#97;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"189\" style=\"vertical-align: -7px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">23. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-05a30d09e9f4ccf444e22aa3c0b5f508_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#57;&#123;&#99;&#125;&#94;&#123;&#50;&#125;&#123;&#100;&#125;&#94;&#123;&#50;&#125;&#45;&#55;&#48;&#123;&#99;&#125;&#94;&#123;&#51;&#125;&#123;&#100;&#125;&#94;&#123;&#51;&#125;&#45;&#51;&#53;&#123;&#99;&#125;&#94;&#123;&#50;&#125;&#123;&#100;&#125;&#94;&#123;&#52;&#125;&#125;&#123;&#55;&#99;&#123;&#100;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"143\" style=\"vertical-align: -7px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">24. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-67e8bed60afc9a27b0bad4039bc0da7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#50;&#123;&#112;&#125;&#94;&#123;&#53;&#125;&#123;&#113;&#125;&#94;&#123;&#52;&#125;&#43;&#51;&#54;&#123;&#112;&#125;&#94;&#123;&#52;&#125;&#123;&#113;&#125;&#94;&#123;&#51;&#125;&#45;&#54;&#52;&#123;&#112;&#125;&#94;&#123;&#51;&#125;&#123;&#113;&#125;&#94;&#123;&#50;&#125;&#125;&#123;&#52;&#123;&#112;&#125;&#94;&#123;&#50;&#125;&#113;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"144\" style=\"vertical-align: -10px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">25. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f0d68921633eea3b0cd68c69a3d86d0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#55;&#50;&#123;&#114;&#125;&#94;&#123;&#53;&#125;&#123;&#115;&#125;&#94;&#123;&#50;&#125;&#43;&#49;&#51;&#50;&#123;&#114;&#125;&#94;&#123;&#52;&#125;&#123;&#115;&#125;&#94;&#123;&#51;&#125;&#45;&#57;&#54;&#123;&#114;&#125;&#94;&#123;&#51;&#125;&#123;&#115;&#125;&#94;&#123;&#53;&#125;&#125;&#123;&#49;&#50;&#123;&#114;&#125;&#94;&#123;&#50;&#125;&#123;&#115;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"149\" style=\"vertical-align: -8px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">26. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2c73a7afba1377038889cfd5df95c6c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#54;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#49;&#48;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#45;&#52;&#52;&#123;&#120;&#125;&#94;&#123;&#52;&#125;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#125;&#123;&#49;&#49;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"156\" style=\"vertical-align: -10px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">27. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-714a7fe50adb457133abf413d6fac11c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#50;&#123;&#113;&#125;&#94;&#123;&#50;&#125;&#43;&#51;&#113;&#45;&#49;&#125;&#123;&#51;&#113;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"69\" style=\"vertical-align: -9px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">28. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0cd85b4ac8a171966827fd596d560ee5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#123;&#119;&#125;&#94;&#123;&#50;&#125;&#43;&#50;&#119;&#45;&#53;&#125;&#123;&#50;&#119;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"70\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">29. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-63dd79b45b13645b238cb44e332359f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#48;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#43;&#49;&#50;&#121;&#45;&#49;&#125;&#123;&#45;&#52;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"78\" style=\"vertical-align: -9px;\" \/><\/td>\n<td style=\"width: 50%;\">30. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7a799b561b316bda62cca2558f4c7b56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#43;&#53;&#120;&#45;&#52;&#125;&#123;&#45;&#53;&#120;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"72\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">31. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0a3d68af892133caa8bb40bace2d3d04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#51;&#123;&#97;&#125;&#94;&#123;&#51;&#125;&#45;&#49;&#48;&#56;&#123;&#97;&#125;&#94;&#123;&#50;&#125;&#43;&#57;&#57;&#97;&#125;&#123;&#57;&#123;&#97;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"105\" style=\"vertical-align: -7px;\" \/><\/td>\n<td style=\"width: 50%;\">32. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-765789c6e0666441affc127aa5426cea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#54;&#123;&#112;&#125;&#94;&#123;&#51;&#125;&#43;&#49;&#56;&#123;&#112;&#125;&#94;&#123;&#50;&#125;&#45;&#49;&#50;&#112;&#125;&#123;&#54;&#123;&#112;&#125;&#94;&#123;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"98\" style=\"vertical-align: -10px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Everyday Math<\/h2>\n<div id=\"fs-id1169597517358\" data-type=\"problem\">\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 49.8159%;\">33. Handshakes At a company meeting, every employee shakes hands with every other employee. The number of handshakes is given by the expression <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-002c9f97675188efebcd00ab2f2f442e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#123;&#110;&#125;&#94;&#123;&#50;&#125;&#45;&#110;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"35\" style=\"vertical-align: -6px;\" \/>, where <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\" \/> represents the number of employees. How many handshakes will there be if there are 10 employees at the meeting?<\/td>\n<td style=\"width: 50.0614%;\">\n<p id=\"fs-id1169597533048\">34. Average cost Pictures Plus produces digital albums. The company\u2019s average cost (in dollars) to make <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/> albums is given by the expression <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-306fa44d3745d034c34b8836ae808286_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#55;&#120;&#43;&#53;&#48;&#48;&#125;&#123;&#120;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"47\" style=\"vertical-align: -6px;\" \/>.<\/p>\n<ol id=\"fs-id1168745404763\" type=\"a\">\n<li>Find the quotient by dividing the numerator by the denominator.<\/li>\n<li>What will the average cost (in dollars) be to produce 20 albums?<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h2>Writing Exercises<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">35. Divide <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d8885b4e9f554a84512e832a3df58997_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#43;&#120;&#45;&#49;&#50;&#125;&#123;&#50;&#120;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"72\" style=\"vertical-align: -6px;\" \/> and explain with words how you get each term of the quotient.<\/td>\n<td style=\"width: 50%;\">36. James divides <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4da16307aca990e293ab73641f2799ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#56;&#121;&#43;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"58\" style=\"vertical-align: -4px;\" \/> by 6 this way: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-68d6e85833bec67eb0e108cd6d05f7f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#56;&#121;&#43;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#41;&#54;&#125;&#125;&#123;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#41;&#54;&#125;&#125;&#61;&#52;&#56;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"96\" style=\"vertical-align: -12px;\" \/>. What is wrong with his reasoning?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Answers<\/h1>\n<table style=\"border-collapse: collapse; width: 100%; height: 160px;\">\n<tbody>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">1. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-03c379631f7eaf2a6c24e7dda74cbbaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#98;&#43;&#49;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"55\" style=\"vertical-align: -2px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">3. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-038b5cef7d1fff1f05e1f8b73bf025a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#45;&#50;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"67\" style=\"vertical-align: 0px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">5. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b4ab37d48348c32cbf7458f3da093abe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#49;&#119;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"60\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">7. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ecb23d23c41dc5a415b951a293beefb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#43;&#51;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"67\" style=\"vertical-align: -2px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">9. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8a3897a151e12410cd2a95ea6a6a039c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#53;&#123;&#98;&#125;&#94;&#123;&#50;&#125;&#43;&#51;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"76\" style=\"vertical-align: -2px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">11.\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0db6da43189bbee4ee7a70212b579996_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#49;&#55;&#123;&#109;&#125;&#94;&#123;&#52;&#125;&#45;&#50;&#52;&#123;&#109;&#125;&#94;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"116\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">13. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-78037b94d2b5cd0b1047c45f1633867f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#51;&#123;&#122;&#125;&#94;&#123;&#53;&#125;&#45;&#49;&#50;&#123;&#122;&#125;&#94;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"98\" style=\"vertical-align: -1px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">15. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-181e63ea204f576967dd60d96a4874a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#55;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#43;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"73\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">17. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4a42b538f2db877ea30f983f15e718a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#53;&#123;&#120;&#125;&#94;&#123;&#51;&#125;&#43;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"70\" style=\"vertical-align: -2px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">19. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-fbbb9edf17e8927b341d9b5d040bd647_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#54;&#123;&#121;&#125;&#94;&#123;&#50;&#125;&#43;&#51;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"78\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">21. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7d9fa1ef2d615d7d017bf46e00091268_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#123;&#120;&#125;&#94;&#123;&#50;&#125;&#123;&#121;&#125;&#94;&#123;&#51;&#125;&#43;&#49;&#50;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"92\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">23. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8bdd1b0c0c6a4a9af27f248f0f3450b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#99;&#45;&#49;&#48;&#123;&#99;&#125;&#94;&#123;&#50;&#125;&#100;&#45;&#53;&#99;&#123;&#100;&#125;&#94;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"135\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">25. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-57c997cfed5a0e1173e147cee379b4ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#123;&#114;&#125;&#94;&#123;&#51;&#125;&#43;&#49;&#49;&#123;&#114;&#125;&#94;&#123;&#50;&#125;&#115;&#45;&#56;&#114;&#123;&#115;&#125;&#94;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"143\" style=\"vertical-align: -2px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">27. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d6320a663e248cca8e70b6cc21aaf64f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#113;&#43;&#49;&#45;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#113;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"86\" style=\"vertical-align: -9px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">29. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b3c9fe3fd2ecc04dbaaa71d024ff78cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#53;&#121;&#45;&#51;&#43;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"100\" style=\"vertical-align: -9px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 16px;\">\n<td style=\"width: 33.3333%; height: 16px;\">31. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c8323487bef29b5b6acf8402ceb38037_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#97;&#45;&#49;&#50;&#43;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#49;&#125;&#123;&#97;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"95\" style=\"vertical-align: -6px;\" \/><\/td>\n<td style=\"width: 33.3333%; height: 16px;\">33. 45<\/td>\n<td style=\"width: 33.3333%; height: 16px;\">35.\u00a0Answers will vary.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Attributions<\/h1>\n<p>This chapter has been adapted from \u201cDivide Polynomials\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/elementary-algebra\"><em>Elementary Algebra<\/em> (OpenStax)<\/a> by Lynn Marecek and MaryAnne Anthony-Smith, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.\u00a0<!-- pb_fixme --><\/p>\n","protected":false},"author":90,"menu_order":6,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2267","chapter","type-chapter","status-publish","hentry"],"part":2016,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/2267","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":4,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/2267\/revisions"}],"predecessor-version":[{"id":2524,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/2267\/revisions\/2524"}],"part":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/parts\/2016"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/2267\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/media?parent=2267"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=2267"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/contributor?post=2267"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/license?post=2267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}