Factoring

Greatest Common Factor

100

Factor: 6x+18

6(x+3)

200

Factor: 8x^2-20x

4x(2x-5)

300

Factor: 15x^3+25x^2-10x

5x(3x^2+5x-2)

400

Factor: 12x^4y^2-18x^3y

6x^3y(2xy-3)

500

Factor: 14x^5-21x^4+7x^3

7x^3(2x^2-3x+1)

Factoring Trinomials

100

factor: x^2+7x+12

(x+3)(x+4)

200

Factor: x^2-9x+20

(x-5)(x-4)

300

Factor: 2x^2+7x+3

(2x+1)(x+3)

400

Factor: 3x^2-14x-5

(3x+1)(x-5)

500

Factor: 6x^2-19x-7

(3x+1)(2x-7)

Difference of Squares & Special Cases

100

Factor: x^2-16

x^2-16

200

Factor: 9x^2-25

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

300

Factor:    x^2+10x+25

(x+5)^2

400

Factor: 4x^2-12x+9

(2x-3)^2

500

Factor: 16x^4-81

(4x^2-9)(4x^2+9)

Factoring by Grouping

100

Factor: x^2+3x+2x+6

(x+2)(x+3)

200

Factor: 2x^2+8x+3x+12

(2x+3)(x+4)

300

Factor: 3x^3-6x^2+5x-10

(x-2)(3x^2+5)

400

Factor: 4x^3+12x^2-3x-9

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

500

Factor: 6x^3-15x^2+8x-20

(2x-5)(3x^2+4)

Mixed Challenge Problems

100

Factor: x^3-9x

x(x-3)(x+3)

200

Factor: 2x^3+4x^2-18x

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

300

Factor: x^4-81

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

400

Factor: 2x^3-50x

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

500

Factor: 9x^4-24x^2+16

(3x^2-4)^2