Factoring Polynomials

Factor by GCF

100

2x + 2y

2(x + y)

200

3x^2 + 4x

x(3x + 4)

300

4xy^2 - 8xy + 2(x^2)y

2xy(2y - 4 + x)

400

4(x + 1) + 7x(x + 1)

(x + 1)(4 + 7x)

500

x(y + 2) - (y + 2)

(y + 2)(x - 1)

Factor by Grouping

100

6x^2 + 4x + 9x + 6

(2x + 3)(3x + 2)

200

2x^2 - 4x - x + 2

(2x - 1)(x - 2)

300

4x^2 - 12x + x - 3

(4x + 1)(x - 3)

400

2x^2 - 14x + 5x - 35

(2x + 5)(x - 7)

500

6x^2 + 3x - 8x - 4

(3x - 4)(2x + 1)

Factor Trinomials

100

x^2 - 4x + 3

(x - 3)(x - 1)

200

x^2 + x - 20

(x + 5)(x - 4)

300

x^2 + 11x + 18

(x + 9) (x + 2)

400

x^2 + 2xy - 15y^2

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

500

x^2 - 6xy + 5y^2

(x - 5y)(x - y)

Factor - Special Cases

100

x^2 - 25

(x + 5)(x - 5)

200

x^2 + 25

Prime

300

x^2 - 4

(x + 2)(x - 2)

400

9x^2 - 1

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

500

9x^2 - 49

(3x + 7)(3x - 7)

Mix - Factor Completely

100

2x^2 + 6x + 4

2(x + 1)(x + 2)

200

5d^2 - 60d + 135

5(d - 9)(d - 3)

300

-4x^3 + 24x^2 - 36x

-4x(x - 3)^2

400

4x^2 - 16

4(x - 2)(x + 2)

500

2x^2 - 2

2(x - 1)(x + 1)