Homework Factoring Worksheet

What is the first thing you should look for when factoring a polynomial?

• Greatest Common Factor (GCF)

• A way to plug in x

• A peanut butter and jelly sandwich

• Least Common Multiple (LCM)

Factor Completely:

 $6x^3+15x$  

•  $3x\left(2x^2+5\right)$  

•  $x\left(6x^2+15\right)$  

•  $3\left(2x^3+5x\right)$  

•  $3x\left(2x^2+15\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely:

 $32b^2+12b$  

•  $4b\left(8b+3\right)$  

•  $4\left(8b^2+3b\right)$  

•  $b\left(32b+12\right)$  

•  $4b\left(8b+12\right)$  

Factor Completely:

 $12a^5b^2+16a^4b$  

•  $4a^4b\left(3ab+4\right)$  

•  $a^4b\left(12ab+16\right)$  

•  $4a^4\left(3ab^2+4b\right)$  

•  $4a^2b\left(3a^3b+4a^2\right)$  

Factor Completely:

 $y^4-3y^2-2y$  

•  $y\left(y^3-3y-2\right)$  

•  $y\left(y^2-3y-2\right)$  

•  $y\left(y^4-3y^2-2\right)$  

• Not factorable

Factor Completely:

 $2x^5+3x^4-4x^2$  

•  $x^2\left(2x^3+3x^2-4\right)$  

•  $2x^2\left(x^3+x^2-2\right)$  

•  $x^2\left(2x^5+3x^4-4\right)$  

• Not factorable

Factor Completely:

 $x^2-9x+14$  

•  $\left(x-7\right)\left(x-2\right)$  

•  $\left(x-7\right)\left(x+2\right)$  

•  $\left(x+7\right)\left(x-2\right)$  

•  $\left(x-14\right)\left(x+1\right)$  

Factor Completely:

 $x^2+3x-18$  

•  $\left(x+6\right)\left(x-3\right)$  

•  $\left(x-6\right)\left(x+3\right)$  

•  $\left(x-9\right)\left(x+2\right)$  

•  $\left(x+9\right)\left(x-2\right)$  

Factor Completely:

 $x^2+8x+7$  

•  $\left(x+1\right)\left(x+7\right)$  

•  $\left(x-1\right)\left(x-7\right)$  

•  $\left(x+2\right)\left(x+4\right)$  

•  $\left(x+8\right)\left(x-1\right)$  

Factor Completely:

 $x^2-14x+49$  

•  $\left(x-7\right)\left(x-7\right)$  

•  $\left(x-7\right)\left(x+7\right)$  

•  $\left(x+7\right)\left(x+7\right)$  

•  $\left(x-7\right)^3$