Factoring Review

x² - 400

• ( x - 200) ( x + 200) 
• ( x + 20) ( x + 20) 
• Prime
• ( x - 20) ( x + 20) 

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor by grouping:

4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Factor: x² - 5x

• 1(x - 5)

• x(x - 5)

• x(x - 5x)

• x²(1 - 5)

Factor q² - 121

• (q - 11) (q - 11)

• (q + 11) (q + 11)

• (q + 11) (q - 11)

• Can't factor using Diff. of Squares

Fully Factor the Following: 25x²-81

• (5x-9)²

• 25(x-9)²

• (5x+9)(5x-9)

• (9x+5)(9x-5)

Factor

x² + 7x + 12

• (x + 2)(x + 10)

• (x + 4)(x + 5)

• (x + 3)(x + 4)

• (x + 4)(x + 6)

Factor completely: 2x²+20x+32

• 2(x+2)(x+16)

• (x+2)(x+16)

• 2(x+2)(x+8)

• (2x+16)(x+2)