College Prep Math Factoring Polynomials

Factoring quadratics

100

x^2+12x+35

(x+5)(x+7)

200

x^2-9x+20

(x-4)(x-5)

300

x^2 + 2x - 48

(x+8)(x-6)

400

4x^2-20x+24 (factor by GCF first)

4*(x-2)(x-3)

500

4x^2 - 8x - 5 (using the AC method)

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

Factoring by GCF

100

3x^2+9x

3x(x+3)

200

6xy - 9x^2

3x(2y - 3x)

300

8x^3-20x^4

4x^3*(2-5x)

400

12*x^2*y^3 - 36*x^3*y

12*x^2*y(y^2-3x)

500

4xy + 14x^2 + 12y + 42x

2(x + 3)(2y + 7x)

Factoring by grouping

100

x^3+4x^2+5x+20

(x+4)(x^2+5)

200

40x^3 - 8x^2 + 25x^2 - 5

(8x^2 + 5)(5x - 1)

300

6x^2 + 9xy - 14x - 21y

(3x-7)*(2x+3y)

400

3x^3 - 2x^2 - 9x + 6

(3x - 2)(x^2 - 3)

500

x^3 + 3x^2 - x - 3 (Factor completely!)

(x+3)(x+1)(x-1)

Difference of squares/cubes

100

x^2-9

(x+3)(x-3)

200

x^3+1

(x+1)(x^2 - x + 1)

300

25x^2 - 9y^2

(5x-3y)(5x+3y)

400

27x^3 - 1000y^3

(3x-10y)(9x^2 + 30xy + 100y^2)

500

12x^3 + 96 (factor by GCF first)

12*(x+2)(x^2 - 2x + 4)