Factor: GCF, Diff of Sq, Trinomials

Factor using the GCF.

 $10m^2n+30mn^2+5mn$  

•  $5\left(2m^2n+6mn^2+mn\right)$  

•  $5m\left(2mn+6n^2+n\right)$  

•  $5mn\left(2m+6n+1\right)$  

•  $5n\left(2m^2+6mn+m\right)$  

Factor using the GCF.
 $72a^5b^3c-32a^3b^2c^2$  

•  $8abc\left(9a^4b^2-4a^2bc\right)$  

•  $8a^3b^2c\left(9a^2b-4c\right)$  

•  $8c\left(9a^5b^3-4a^3b^2c\right)$  

•  $8\left(9a^5b^3c-4a^3b^2c^2\right)$  

Factor the difference of squares. *Check for GCF.
 $81-4y^2$  

• (2y+9)(2y-9)

• (9+2y)(9-2y)

• (9-2y)(9-2y)

Tags

CCSS.HSA.APR.C.4

Factor the trinomial. *Check for GCF.
 $p^2-13p+30$  

•  $\left(p+10\right)\left(p+3\right)$  

•  $\left(p-10\right)\left(p+3\right)$  

•  $\left(p-3\right)\left(p-10\right)$  

• Prime

Factor the trinomial. *Check for GCF.
 $x^2+6x+9$  

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

•  $\left(x+3\right)^2$  

•  $\left(x-3\right)^2$  

• Prime

Tags

CCSS.HSA.APR.C.4

Review: Which of the expressions below would have
x² - 100 
as the product?

• (x - 10)(x +10)
• (x - 2)(x + 50)
• (x - 4)(x + 25)
• (x - 1)(x + 100)

Tags

CCSS.HSA.APR.C.4

x² - 16

• Prime
• ( x - 4) ( x + 4) 
• ( x - 8) ( x + 8) 
• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.APR.C.4

x² + 81

• Prime
• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 ) 

Tags

CCSS.HSA.APR.C.4

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3