Factoring Special Cases

Factor:
x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Tags

CCSS.HSA.APR.C.4

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 ) 

Tags

CCSS.HSA.APR.C.4

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

 $64x^2+112x+49$  Factor:

•  $\left(8x-7\right)\left(8x+7\right)$  

•  $\left(8x-7\right)^2$  

•  $\left(16x+7\right)^2$  

•  $\left(8x+7\right)^2$  

Tags

CCSS.HSA.APR.C.4

 $a^2-10a+25$  Factor:

•  $\left(a-5\right)\left(a+5\right)$  

•  $\left(a+5\right)^2$  

•  $\left(a-5\right)^2$  

•  $\left(a-10\right)^2$  

Tags

CCSS.HSA.APR.C.4

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor completely: $8x^2-50$  

•  $2\left(4x^2-25\right)$  

•  $2\left(2x-5\right)^2$  

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

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

Tags

CCSS.HSA.APR.C.4

Factor completely: $49x^2-126x+81$  

•  $\left(7x+9\right)^2$  

•  $\left(7x-9\right)^2$  

•  $\left(7x+9\right)\left(7x-9\right)$  

•  $\left(9x-7\right)^2$  

Tags

CCSS.HSA.APR.C.4

 Factor completely:  $4x^2+16x+16$  

•  $2\left(2x^2+8x+8\right)$  

•  $4\left(x^2+4x+4\right)$  

•  $\left(2x+4\right)^2$  

•  $4\left(x+2\right)^2$  

Tags

CCSS.HSA.APR.C.4