{"id":1869,"date":"2021-12-02T19:39:48","date_gmt":"2021-12-03T00:39:48","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-6-4\/"},"modified":"2022-11-02T10:38:03","modified_gmt":"2022-11-02T14:38:03","slug":"answer-key-6-4","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-6-4\/","title":{"raw":"Answer Key 6.4","rendered":"Answer Key 6.4"},"content":{"raw":"
    \n \t
  1. [latex]-(-4)^3-(-4)^2+6(-4)-21[\/latex]\n[latex]64-16-24-21[\/latex]\n[latex]3[\/latex]<\/li>\n \t
  2. [latex](-6)^2+3(-6)-11[\/latex]\n[latex]36-18-11[\/latex]\n[latex]7[\/latex]<\/li>\n \t
  3. [latex]-5(-1)^4-11(-1)^3-9(-1)^2-(-1)-5[\/latex]\n[latex]-5+11-9+1-5[\/latex]\n[latex]-7[\/latex]<\/li>\n \t
  4. [latex](5)^4-5(5)^3-(5)+13[\/latex]\n[latex]625-625-5+13[\/latex]\n[latex]8[\/latex]<\/li>\n \t
  5. [latex](-3)^2+9(-3)+23[\/latex]\n[latex]9-27+23[\/latex]\n[latex]5[\/latex]<\/li>\n \t
  6. [latex]-6(6)^3+41(6)^2-32(6)+11[\/latex]\n[latex]-1296+1476-192+11[\/latex]\n[latex]-1[\/latex]<\/li>\n \t
  7. [latex](6)^4-6(6)^3+(6)^2-24[\/latex]\n[latex]1296-1296+36-24[\/latex]\n[latex]12[\/latex]<\/li>\n \t
  8. [latex](-6)^4+8(-6)^3+14(-6)^2+13(-6)+5[\/latex]\n[latex]1296-1728+504-78+5[\/latex]\n[latex]-1[\/latex]<\/li>\n \t
  9. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrr}\n-5p^4&+&5p \\\\\n+8p^4&-&8p \\\\\n\\hline\n3p^4&-&3p\n\\end{array}[\/latex]<\/li>\n \t
  10. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrr}\n5m^3&+&7m^2 \\\\\n-6m^3&+&5m^2 \\\\\n\\hline\n-m^3&+&12m^2\n\\end{array}[\/latex]<\/li>\n \t
  11. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrr}\n5p^3&+&1 \\\\\n8p^3&-&1 \\\\\n\\hline\n13p^3&&\n\\end{array}[\/latex]<\/li>\n \t
  12. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrr}\n6x^3&+&5x \\\\\n-6x^3&-&8x \\\\\n\\hline\n&&-3x\n\\end{array}[\/latex]<\/li>\n \t
  13. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrr}\n5n^4&+&6n^3&& \\\\\n-5n^4&-&3n^3&+&8 \\\\\n\\hline\n&&3n^3&+&8\n\\end{array}[\/latex]<\/li>\n \t
  14. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrr}\n&&8x^2&+&1 \\\\\nx^4&+&x^2&-&6 \\\\\n\\hline\nx^4&+&9x^2&-&5\n\\end{array}[\/latex]<\/li>\n \t
  15. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrr}\n2a^4&&&+&2a \\\\\n5a^4&-&3a^2&-&4a \\\\\n\\hline\n7a^4&-&3a^2&-&2a\n\\end{array}[\/latex]<\/li>\n \t
  16. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrr}\n8v^3&+&6v&& \\\\\n4v^3&-&3v&+&3 \\\\\n\\hline\n12v^3&+&3v&+&3\n\\end{array}[\/latex]<\/li>\n \t
  17. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrr}\n4p^2&-&2p&-&3 \\\\\n-3p^2&+&6p&-&3 \\\\\n\\hline\np^2&+&4p&-&6\n\\end{array}[\/latex]<\/li>\n \t
  18. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrr}\n8m^4&+&4m&+&7 \\\\\n-5m^4&-&6m&-&1 \\\\\n\\hline\n3m^4&-&2m&+&6\n\\end{array}[\/latex]<\/li>\n \t
  19. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n4n^4&&&+&2n^2&+&3 \\\\\n-4n^4&+&n^3&-&7n^2&& \\\\\n\\hline\n&&n^3&-&5n^2&+&3 \\\\\n\\end{array}[\/latex]<\/li>\n \t
  20. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrr}\n2x^4&+&7x^3&+&7x^2 \\\\\n-8x^4&+&6x^3&-&7x^2 \\\\\n\\hline\n-6x^4&+&13x^3&&\n\\end{array}[\/latex]<\/li>\n \t
  21. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n8r^4&-&5r^3&+&5r^2&& \\\\\n-7r^4&+&2r^3&+&2r^2&+&1 \\\\\n\\hline\nr^4&-&3r^3&+&7r^2&+&1\n\\end{array}[\/latex]<\/li>\n \t
  22. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n4x^3&-&7x^2&+&x&& \\\\\n6x^3&+&x^2&+&2x&-&8 \\\\\n\\hline\n10x^3&-&6x^2&+&3x&-&8\n\\end{array}[\/latex]<\/li>\n \t
  23. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n7n^4&&&+&2n^2&-&2 \\\\\n2n^4&+&2n^3&+&4n^2&+&2 \\\\\n\\hline\n9n^4&+&2n^3&+&6n^2&&\n\\end{array}[\/latex]<\/li>\n \t
  24. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n4b^4&+&7b^3&&&-&4b \\\\\n-2b^4&-&8b^3&+&4b^2&+&8b \\\\\n\\hline\n2b^4&-&b^3&+&4b^2&+&4b \\\\\n\\end{array}[\/latex]<\/li>\n \t
  25. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrrrr}\n&&7b^3&&&-&b&+&8 \\\\\n-3b^4&&&-&7b^2&-&7b&+&8 \\\\\n&&6b^3&&&-&3b&+&3 \\\\\n\\hline\n-3b^4&+&13b^3&-&7b^2&-&11b&+&19\n\\end{array}[\/latex]<\/li>\n \t
  26. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n-3n^4&-&8n^3&&&+&1 \\\\\n7n^4&+&3n^3&-&6n^2&+&2 \\\\\n8n^4&+&4n^3&&&+&7 \\\\\n\\hline\n12n^4&-&n^3&-&6n^2&+&10\n\\end{array}[\/latex]<\/li>\n \t
  27. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n8x^4&+&2x^3&+&2x&& \\\\\n-x^4&-&2x^3&+&2x&+&2 \\\\\n-5x^4&-&x^3&-&8x&& \\\\\n\\hline\n2x^4&-&x^3&-&4x&+&2 \\\\\n\\end{array}[\/latex]<\/li>\n \t
  28. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n-5x^4&-&4x^2&+&6x&& \\\\\n4x^4&+&7x^2&-&2x&+&8 \\\\\n4x^4&+&6x^2&&&-&8 \\\\\n\\hline\n3x^4&+&9x^2&+&4x&&\n\\end{array}[\/latex]<\/li>\n<\/ol>","rendered":"
      \n
    1. [latex]-(-4)^3-(-4)^2+6(-4)-21[\/latex]
      \n[latex]64-16-24-21[\/latex]
      \n[latex]3[\/latex]<\/li>\n
    2. [latex](-6)^2+3(-6)-11[\/latex]
      \n[latex]36-18-11[\/latex]
      \n[latex]7[\/latex]<\/li>\n
    3. [latex]-5(-1)^4-11(-1)^3-9(-1)^2-(-1)-5[\/latex]
      \n[latex]-5+11-9+1-5[\/latex]
      \n[latex]-7[\/latex]<\/li>\n
    4. [latex](5)^4-5(5)^3-(5)+13[\/latex]
      \n[latex]625-625-5+13[\/latex]
      \n[latex]8[\/latex]<\/li>\n
    5. [latex](-3)^2+9(-3)+23[\/latex]
      \n[latex]9-27+23[\/latex]
      \n[latex]5[\/latex]<\/li>\n
    6. [latex]-6(6)^3+41(6)^2-32(6)+11[\/latex]
      \n[latex]-1296+1476-192+11[\/latex]
      \n[latex]-1[\/latex]<\/li>\n
    7. [latex](6)^4-6(6)^3+(6)^2-24[\/latex]
      \n[latex]1296-1296+36-24[\/latex]
      \n[latex]12[\/latex]<\/li>\n
    8. [latex](-6)^4+8(-6)^3+14(-6)^2+13(-6)+5[\/latex]
      \n[latex]1296-1728+504-78+5[\/latex]
      \n[latex]-1[\/latex]<\/li>\n
    9. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrr} -5p^4&+&5p \\\\ +8p^4&-&8p \\\\ \\hline 3p^4&-&3p \\end{array}[\/latex]<\/li>\n
    10. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrr} 5m^3&+&7m^2 \\\\ -6m^3&+&5m^2 \\\\ \\hline -m^3&+&12m^2 \\end{array}[\/latex]<\/li>\n
    11. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrr} 5p^3&+&1 \\\\ 8p^3&-&1 \\\\ \\hline 13p^3&& \\end{array}[\/latex]<\/li>\n
    12. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrr} 6x^3&+&5x \\\\ -6x^3&-&8x \\\\ \\hline &&-3x \\end{array}[\/latex]<\/li>\n
    13. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrr} 5n^4&+&6n^3&& \\\\ -5n^4&-&3n^3&+&8 \\\\ \\hline &&3n^3&+&8 \\end{array}[\/latex]<\/li>\n
    14. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrr} &&8x^2&+&1 \\\\ x^4&+&x^2&-&6 \\\\ \\hline x^4&+&9x^2&-&5 \\end{array}[\/latex]<\/li>\n
    15. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrr} 2a^4&&&+&2a \\\\ 5a^4&-&3a^2&-&4a \\\\ \\hline 7a^4&-&3a^2&-&2a \\end{array}[\/latex]<\/li>\n
    16. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrr} 8v^3&+&6v&& \\\\ 4v^3&-&3v&+&3 \\\\ \\hline 12v^3&+&3v&+&3 \\end{array}[\/latex]<\/li>\n
    17. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrr} 4p^2&-&2p&-&3 \\\\ -3p^2&+&6p&-&3 \\\\ \\hline p^2&+&4p&-&6 \\end{array}[\/latex]<\/li>\n
    18. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrr} 8m^4&+&4m&+&7 \\\\ -5m^4&-&6m&-&1 \\\\ \\hline 3m^4&-&2m&+&6 \\end{array}[\/latex]<\/li>\n
    19. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} 4n^4&&&+&2n^2&+&3 \\\\ -4n^4&+&n^3&-&7n^2&& \\\\ \\hline &&n^3&-&5n^2&+&3 \\\\ \\end{array}[\/latex]<\/li>\n
    20. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrr} 2x^4&+&7x^3&+&7x^2 \\\\ -8x^4&+&6x^3&-&7x^2 \\\\ \\hline -6x^4&+&13x^3&& \\end{array}[\/latex]<\/li>\n
    21. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} 8r^4&-&5r^3&+&5r^2&& \\\\ -7r^4&+&2r^3&+&2r^2&+&1 \\\\ \\hline r^4&-&3r^3&+&7r^2&+&1 \\end{array}[\/latex]<\/li>\n
    22. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} 4x^3&-&7x^2&+&x&& \\\\ 6x^3&+&x^2&+&2x&-&8 \\\\ \\hline 10x^3&-&6x^2&+&3x&-&8 \\end{array}[\/latex]<\/li>\n
    23. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} 7n^4&&&+&2n^2&-&2 \\\\ 2n^4&+&2n^3&+&4n^2&+&2 \\\\ \\hline 9n^4&+&2n^3&+&6n^2&& \\end{array}[\/latex]<\/li>\n
    24. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} 4b^4&+&7b^3&&&-&4b \\\\ -2b^4&-&8b^3&+&4b^2&+&8b \\\\ \\hline 2b^4&-&b^3&+&4b^2&+&4b \\\\ \\end{array}[\/latex]<\/li>\n
    25. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrrrr} &&7b^3&&&-&b&+&8 \\\\ -3b^4&&&-&7b^2&-&7b&+&8 \\\\ &&6b^3&&&-&3b&+&3 \\\\ \\hline -3b^4&+&13b^3&-&7b^2&-&11b&+&19 \\end{array}[\/latex]<\/li>\n
    26. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} -3n^4&-&8n^3&&&+&1 \\\\ 7n^4&+&3n^3&-&6n^2&+&2 \\\\ 8n^4&+&4n^3&&&+&7 \\\\ \\hline 12n^4&-&n^3&-&6n^2&+&10 \\end{array}[\/latex]<\/li>\n
    27. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} 8x^4&+&2x^3&+&2x&& \\\\ -x^4&-&2x^3&+&2x&+&2 \\\\ -5x^4&-&x^3&-&8x&& \\\\ \\hline 2x^4&-&x^3&-&4x&+&2 \\\\ \\end{array}[\/latex]<\/li>\n
    28. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} -5x^4&-&4x^2&+&6x&& \\\\ 4x^4&+&7x^2&-&2x&+&8 \\\\ 4x^4&+&6x^2&&&-&8 \\\\ \\hline 3x^4&+&9x^2&+&4x&& \\end{array}[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":52,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"back-matter-type":[],"contributor":[],"license":[56],"class_list":["post-1869","back-matter","type-back-matter","status-publish","hentry","license-cc-by-nc-sa"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1869","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1869\/revisions"}],"predecessor-version":[{"id":1870,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1869\/revisions\/1870"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1869\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1869"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1869"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1869"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1869"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}