Factoring Polynomials

Factor Completely

 $x^2-49$  

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

•  $7\left(x-7\right)$  

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

•  $x\left(x-7\right)$  

Tags

CCSS.HSA.APR.C.4

Factor completely.

 $x^3-8x^2-4x-32$  

•  $\left(x+8\right)\left(x-4\right)$  

•  $\left(x^2+4\right)\left(x-8\right)$  

•  $\left(x+2\right)\left(x-2\right)\left(x+8\right)$  

•  $\left(x^2-4\right)\left(x-8\right)$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

 $x^3-125$  

•  $\left(x+25\right)\left(x-25\right)$  

•  $\left(x-5\right)\left(x^2+5x+25\right)$  

•  $\left(x+5\right)\left(x^2+25x-25\right)$  

•  $\left(x-5\right)\left(x^2-x+25\right)$  

Tags

CCSS.HSA.APR.C.4

Factor completely.

 $x^2+8x-9$  

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

•  $\left(2x+3\right)\left(x-3\right)$  

•  $\left(x-9\right)\left(x+1\right)$  

•  $\left(x-1\right)\left(x+9\right)$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

 $2x^2-3x-14$  

•  $\left(x+7\right)\left(2x-3\right)$  

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

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

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

 $7x^3-7x$  

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

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

•  $7x\left(x^2+7\right)$  

•  $7\left(x^2+1\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Which method would you use to factor    $x^3+64$  

• Difference of Squares

• Sum of Cubes

• Grouping 

• GCF

Tags

CCSS.HSA.APR.C.4

True or False. You should always try factoring by GCF first.

• True

• False.

Factor completely.  $121x^2-100$  

•  $\left(10x+1\right)\left(10x-1\right)$  

•  $\left(7x+5\right)\left(x-20\right)$  

•  $\left(10x+11\right)\left(x-11\right)$  

•  $\left(11x+10\right)\left(11x-10\right)$  

Tags

CCSS.HSA.APR.C.4

 $x^3+3x^2-9x-27$  

Factor completely.

•  $\left(x+3\right)\left(x^2-3x+18\right)$  

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

•  $\left(x+3\right)\left(x-9\right)$  

•  $\left(x^2-3\right)\left(x+9\right)$  

Tags

CCSS.HSA.APR.B.2