Factoring Review

GCF

100

What is the GCF of 12, 24, and 60

12

200

What is the GCF of the binomial

15x² +10x

5x

300

Factor the trinomial using GCF

12x³ + 4x² - 24x

4x(3x²+x-6)

When a=1

100

Factor the trinomial

x² + 10x + 25

(x+5)(x+5)

200

Factor the trinomial

x²-6x+9

(x-3)(x-3)

300

Factor the trinomial

x²+2x-24

(x+6)(x-4)

When a is not 1

100

Factor the trinomial

4x²+7x+3

(x+1)(4x+3)

200

Factor the trinomial

2x²+15x-8

(x+8)(2x-1)

300

Factor the trinomial

3x²+10x-8

(3x-2)(x+4)

Special Cases

100

Factor the binomial

x²-49

(x+7)(x-7)

200

Factor the binomial 

x²-121

(x-11)(x+11)

300

Factor the trinomial using perfect squares

4x²-12x+9

(2x-3)²

Definitions

100

What is always the first step when factoring?

Check for a GCF

200

Consider the trinomial 

ax² - bx + c

What sign will each factor have?

Both Negative

300

Consider the trinomial 

ax^{2 +} bx - c

What sign will each factor have?

One Positive

One Negative