Factoring Practice

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:

 $81m^2-1$  

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

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

•  $9m\left(9m-1\right)$  
  

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

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

Factor completely:
 $x^2-8x+15$  

•  $\left(x-1\right)\left(x-15\right)$  

•  $\left(x+1\right)\left(x-15\right)$  

•  $\left(x-3\right)\left(x-5\right)$  

•  $\left(x+3\right)\left(x-5\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:
 $x^2-7x+12$  

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

•  $\left(x-2\right)\left(x-6\right)$  

•  $\left(x-1\right)\left(x-12\right)$  

•  $\left(x-5\right)\left(x-2\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

   6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of these can factor using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Tags

CCSS.HSA.APR.C.4

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

Tags

CCSS.HSA.APR.C.4