Factoring Review

Factor a GCF

5x² + 20

• 5(x + 4)

• 5x(x + 4)

• 5(x² + 4)

• 5x²(x + 4)

What is the GCF?

6x²y - 18xy²

• 6

• 6xy

• 6xy²

• 6x²y

20x³-25x²+4x-5

• (5x²-5)(4x+1)
• 5(x²-1)(4x+5)
• (5x²+1)(4x-5)
• (5x²+1)(4x-1)

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 
• Is there a GCF? 
• What strategy should I use? 
• Why do I have to learn this?!?!?!

Factor the polynomial. 
x²-4x-32

• (x-8)(x+4)
• (x-4)(x-32)
• (x+3)(x-4)
• x+2)(x+5)

Factor completely. Select all the factors.

3x² + 18x +15

• 2

• 3

• (x-1)

• (x+1)

• (x+5)

x² - 16

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

Solve  $\left(x+2\right)\left(x-11\right)=0$  for x.

•  $x=-2$  or  $x=-11$  

•  $x=2$  or  $x=-11$  

•  $x=2$  or  $x=11$  

•  $x=-2$  or  $x=11$  

Solve by factoring 
 $x^2+12x+35=0$  

• x = - 5 or x = - 7

• x = 5 or x = 7

• x = - 35 or x = - 1

• x = - 9 or x = - 4