Practice Factoring

Factor:  

 $k^2-2k-24$  

•  $\left(k+4\right)\left(k-6\right)$  

•  $\left(k+4\right)\left(k+6\right)$  

•  $\left(k+6\right)\left(k-1\right)$  

•  $\left(k-4\right)\left(k+6\right)$  

Factor by hand:

 $3v^2-4v-7$  

•  $\left(3v-7\right)\left(v+1\right)$  

•   $3\left(v-7\right)\left(v-1\right)$ 

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

•  $\left(3v+1\right)\left(v-10\right)$ 

Factor:

 $81m^2-1$  

•  $\left(9-m\right)\left(9+m\right)$  

•  $\left(m+9\right)\left(m-9\right)$  
  

•  $9m\left(9m-1\right)$  
  

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

Tags

CCSS.HSA.APR.C.4

Which binomials are a difference of two squares?

• I only

• III only

• III and IV

• II, III, and IV

What is the GCF?
 $28p^3+16p^2+16p$  

•  $2p$  

•  $4p$  

•  $4p^2$  

•  $8p^{2\ }$  

Tags

CCSS.HSA.APR.A.1

Factor completely:
 $r^3-3r^2+2r-6$  

•  $\left(r+2\right)\left(r+3\right)$  

•  $\left(r^2+1\right)\left(r-6\right)$  

•  $\left(r^2-2\right)\left(r-3\right)$  

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

Factor completely:
 $9x^2+12x+4$  

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

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

•  $\left(3r+2\right)^2$  

•  $\left(9r+2\right)^2$  

Tags

CCSS.HSA.APR.C.4

Factor Completely:

 $8xy+4x-10y-5$  

•  $\left(2y+1\right)\left(4x-5\right)$  
  

•  $4x\left(2y+1-10y+1\right)$  
  

•  $\left(4x-5\right)\left(2y+1\right)\left(2y+1\right)$  
  

•  $\left(8x+5y\right)\left(y-5\right)$  
  

Factor:

 $49-4y^2$  

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

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

•  $\left(7-4y\right)\left(7+4y\right)$  

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

Tags

CCSS.HSA.APR.C.4