GCF and Factoring Quiz

Rewrite this expression by factoring out the GCF (greatest common factor).

 $3x^2+6x$  

•  $3\left(x^2+2x\right)$  

•  $x\left(3x+6\right)$  

•  $3x\left(x+2\right)$  

•  $2x\left(x+3\right)$  

• (x+2)(x+12)

• (x-12)(x-2)

• (x+8)(x+3)

• (x+4)(x+6)

• (x+1)(x-3)

• (x-1)(x-3)

• (x+2)(x-1)

• (x-4)(x+1)

Factor by using the grouping method:

 $3x^3-4x^2+9x-12$  

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

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

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

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

Factor by using the grouping method:

 $12x^3+4x^2+3x+1$  

•  $\left(3x^2+1\right)\left(4x+1\right)$  
  

•  $\left(4x^2-1\right)\left(3x-1\right)$  
  

•  $\left(4x^2+1\right)\left(3x+1\right)$  
  

•  $\left(4x^2\right)\left(3x+1\right)$  
  

• (3x+8)(x+1)

• (3x+4)(x+2)

• (3x+1)(x+8)

• (3x+2)(x+4)

• (3x+2)(x+3)

• (3x+2)(x-3)

• (3x-2)(x-3)

• (3x-2)(x+3)