Answer Key 7.4
- [latex]-21\times 2=-42[/latex]
[latex]-21+2=-19[/latex]
[latex]7x^2-21x+2x-6[/latex]
[latex]7x(x-3)+2(x-3)[/latex]
[latex](x-3)(7x+2)[/latex] - [latex]-6\times 4=-24[/latex]
[latex]-6+4=-2[/latex]
[latex]3n^2-6n+4n-8[/latex]
[latex]3n(n-2)+4(n-2)[/latex]
[latex](n-2)(3n+4)[/latex] - [latex]14\times 1=14[/latex]
[latex]14+1=15[/latex]
[latex]7b^2+14b+b+2[/latex]
[latex]7b(b+2)+1(b+2)[/latex]
[latex](b+2)(7b+1)[/latex] - [latex]-14\times 3=-42[/latex]
[latex]-14+3=-11[/latex]
[latex]21v^2-14v+3v-2[/latex]
[latex]7v(3v-2)+1(3v-2)[/latex]
[latex](3v-2)(7v+1)[/latex] - [latex]15\times -2=-30[/latex]
[latex]15+-2=13[/latex]
[latex]5a^2+15a-2a-6[/latex]
[latex]5a(a+3)-2(a+3)[/latex]
[latex](a+3)(5a-2)[/latex] - [latex]-20\times 2=-40[/latex]
[latex]-20+2=-18[/latex]
[latex]5n^2-20n+2n-8[/latex]
[latex]5n(n-4)+2(n-4)[/latex]
[latex](n-4)(5n+2)[/latex] - [latex]-1\times -4=4[/latex]
[latex]-1+-4=-5[/latex]
[latex]2x^2-x-4x+2[/latex]
[latex]x(2x-1)-2(2x-1)[/latex]
[latex](2x-1)(x-2)[/latex] - [latex]-6\times 2=-12[/latex]
[latex]-6+2=-4[/latex]
[latex]3r^2-6r+2r-4[/latex]
[latex]3r(r-2)+2(r-2)[/latex]
[latex](r-2)(3r+2)[/latex] - [latex]14\times 5=70[/latex]
[latex]14+5=19[/latex]
[latex]2x^2+14x+5x+35[/latex]
[latex]2x(x+7)+5(x+7)[/latex]
[latex](x+7)(2x+5)[/latex] - [latex]9\times -5=-45[/latex]
[latex]9+-5=4[/latex]
[latex]3x^2+9x-5x-15[/latex]
[latex]3x(x+3)-5(x+3)[/latex]
[latex](x+3)(3x-5)[/latex] - [latex]-3\times 2=-6[/latex]
[latex]-3+2=-1[/latex]
[latex]2b^2-3b+2b-3[/latex]
[latex]b(2b-3)+1(2b-3)[/latex]
[latex](2b-3)(b+1)[/latex] - [latex]8\times -3=-24[/latex]
[latex]8+-3=5[/latex]
[latex]2k^2+8k-3k-12[/latex]
[latex]2k(k+4)-3(k+4)[/latex]
[latex](k+4)(2k-3)[/latex] - [latex]15\times 2=30[/latex]
[latex]15+2=17[/latex]
[latex]3x^2+15xy+2xy+10y^2[/latex]
[latex]3x(x+5y)+2y(x+5y)[/latex]
[latex](x+5y)(3x+2y)[/latex] - [latex]-7\times 5=-35[/latex]
[latex]-7+5=-2[/latex]
[latex]7x^2-7xy+5xy-5y^2[/latex]
[latex]7x(x-y)+5y(x-y)[/latex]
[latex](x-y)(7x+5y)[/latex] - [latex]15\times -4=-60[/latex]
[latex]15+-4=11[/latex]
[latex]3x^2+15xy-4xy-20y^2[/latex]
[latex]3x(x+5y)-4y(x+5y)[/latex]
[latex](x+5y)(3x-4y)[/latex] - [latex]18\times -2=-36[/latex]
[latex]18+-2=16[/latex]
[latex]12u^2+18uv-2uv-3v^2[/latex]
[latex]6u(2u+3v)-v(2u+3v)[/latex]
[latex](2u+3v)(6u-v)[/latex] - [latex]-16\times -1=16[/latex]
[latex]-16+-1=-17[/latex]
[latex]4k^2-16k-k+4[/latex]
[latex]4k(k-4)-1(k-4)[/latex]
[latex](k-4)(4k-1)[/latex] - [latex]7\times -4=-28[/latex]
[latex]7+-4=3[/latex]
[latex]4r^2+7r-4r-7[/latex]
[latex]r(4r+7)-1(4r+7)[/latex]
[latex](4r+7)(r-1)[/latex] - [latex]-12\times 3=-36[/latex]
[latex]-12+3=-9[/latex]
[latex]4m^2-12mn+3mn-9n^2[/latex]
[latex]4m(m-3n)+3n(m-3n)[/latex]
[latex](m-3n)(4m+3n)[/latex] - [latex]\text{Cannot be factored.}[/latex]
- [latex]12\times 1=12[/latex]
[latex]12+1=13[/latex]
[latex]4x^2+12xy+xy+3y^2[/latex]
[latex]4x(x+3y)+y(x+3y)[/latex]
[latex](x+3y)(4x+y)[/latex] - [latex]8\times -3=-24[/latex]
[latex]8+-3=5[/latex]
[latex]6u^2+8uv-3uv-4v^2[/latex]
[latex]2u(3u+4v)-v(3u+4v)[/latex]
[latex](3u+4v)(2u-v)[/latex] - [latex]20\times -1=-20[/latex]
[latex]20+-1=19[/latex]
[latex]10x^2+20xy-xy-2y^2[/latex]
[latex]10x(x+2y)-1(x+2y)[/latex]
[latex](x-2y)(10x-y)[/latex] - [latex]-15\times 2=-30[/latex]
[latex]-15+2=-13[/latex]
[latex]6x^2-15xy+2xy-5y^2[/latex]
[latex]3x(2x-5y)+y(2x-5y)[/latex]
[latex](2x-5y)(3x+y)[/latex]
