Factoring Polynomials Review

Greatest Common Factor (GCF)

100

6x+18

6(x+3)

200

15y^2-20y

5y(3y-4)

300

12a^3+18a^2-6a

6a(2a^2+3a-1)

400

20m^2n+30mn^2-10mn

10mn(2m+3n-1)

500

18x^3y^2-24x^2y+30xy^2

6xy(3x^2y-4x+5y)

Grouping

100

x^2+2x+3x+6

(x+3)(x+2)

200

2x^2+4x+3x+6

(2x+3)(x+2)

300

3a^2+6a+5a+10

(3a+5)(a+2)

400

4m^2+3m+8m+6

(4m+3)(m+2)

500

6x^2+5x-12x-10

(6x+5)(x-2)

Factoring Using the Box/ AC Method

100

x^2+5x+6

(x+2)(x+3)

200

x^2+7x+12

(x+3)(x+4)

300

2x^2+7x+3

(2x+1)(x+3)

400

3x^2+11x+6

(3x+2)(x+3)

500

4x^2+12x+5

(2x+1)(2x+5)

Factoring Using Special Formulas

100

x^3-8

(x−2)(x^2+2x+4)

200

x^3+27

(x+3)(x^2-3x+9)

300

8a^3-1

(2a−1)(4a^2+2a+1)

400

27m^3+64

(3m+4)(9m^2-12m+16)

500

64x^3−125y^3

(4x−5y)(16x^2+20xy+25y^2)

Surprise!

100

8x^2+12x

4x(2x+3)

200

2x^2+4x+3x+6

(2x+3)(x+2)

300

2x^2+7x+3

(2x+1)(x+3)

400

x^2-49

(x+7)(x-7)

500

8x^3+27

(2x+3)(4x^2−6x+9)