Factoring Polynomials Completely

Factor the following expression:
 $2m^2-18$  

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

•  $2\left(m-3\right)^2$  

•  $2\left(4m+5\right)\left(4m-5\right)$  

•  $2\left(5m+2\right)\left(5m-2\right)$  

Tags

CCSS.HSA.APR.C.4

Factor the following expression:
 $3v^2-24v-27$  

•  $3\left(v+1\right)\left(v-9\right)$  

•  $3\left(v-1\right)\left(v+9\right)$  

•  $\left(v-6\right)\left(v-7\right)$  

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• x⁴(x² - 5x - 24)
• (x - 8)(x + 3)
• x⁴(x - 8)(x + 3)
• (x³ - 8)(x³ +3)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the expression completely.

 $6x^3\ \ -\ \ 4x^2\ \ -\ \ 16x$  

•  $2x\left(3x^2\ \ -\ 2x\ \ -\ \ 8\right)$  

•  $2x\left(3x\ \ +\ 4\right)\left(x\ \ -\ \ 2\right)$  

•  $2x\left(3x\ \ -\ \ 4\right)\left(x\ \ +\ \ 2\right)$  

•  $2x\left(3x\ \ -\ \ 2\right)\left(x\ \ +\ \ 4\right)$  

Factored Completely, the expression

 $2m^4\ \ +\ \ 12m^2\ \ -\ \ 54$  is equivalent to

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

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

•  $\left(m^2\ \ +\ \ 6\right)\left(2m^2\ \ \ -\ \ 9\ \right)$  

•  $2\left(m^2\ \ +\ \ 6\right)\left(2m^2\ \ -\ \ 9\right)$