Special Factoring Techniques

Factor:
x² - 25

• (x + 5)(x - 5)

• (x - 5)(x - 5)

• (x + 5)(x + 5)

• Prime

Factor:
x² - 16

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

Tags

CCSS.HSA.APR.C.4

Factor:
3x² - 75

• 3(x + 5)(x - 5)

• Prime

• (x + 5)(x - 5)

• 3(x - 5)(x - 5)

Factor:
x² + 81

• Prime (not factorable)

• (x - 9)(x + 9)

• (x + 9)(x + 9)

• (x - 9)(x - 9)

Which of the following trinomials is a perfect square trinomial?

• r² - 6r + 36
• 4y² + 10y + 25
• x² + 16x + 16
• 9a² - 12a + 4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor, if possible: 4x² + 36x + 81

• (4x + 81)²

• (2x + 9)²

• Prime / Not factorable. 

• (2x - 9)²

Factor, if possible:  64x² - 16x + 1

• Not factorable.

• (32x - 1)²

• (8x + 1)²

• (8x - 1)²

 $16x^2-81$  Factor:

•  $\left(4x-9\right)^2$  

•  $\left(2x-9\right)^2$  

•  $\left(4x\ +\ 9\right)^2$  

•  $\left(4x+9\right)\left(4x-9\right)$  

Tags

CCSS.HSA.APR.C.4

Factor:  $x^2-18x+81$  

•  $\left(x-9\right)^2$  

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

•  $\left(x+9\right)^2$  

•  $\left(x+18\right)\left(x-18\right)$  

Tags

CCSS.HSA.APR.C.4