Let's Get Factoring

Factoring Basics

100

The GCF of 12x² + 18x?

What is 6x?

200

Simplify 4x² + 2x - 6

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

300

Factor 5y³ + 10y² - 15y

5y(y + 2)(y - 1)

400

Factor: x² + 7x + 10.

(x + 5)(x + 2)

500

Factor: 2x³ - 10x² + 12x

2x(x - 1)(x - 6)

Factoring by Grouping

100

2x³ + 4x² + 3x + 6

What is 2x(x + 2) + 3(x + 2)

200

3x² - 5xy + 2x - 10y

(3x - 5y)(x + 2) - 10(y + 1)

300

a³ - 5a² + 4ab - 20b

a(a - 5)(a + 4) - 20(b + 1)

400

6x³ + 12x² - 9x - 18

3x(2x² + 4x - 3) - 9(x + 2)

500

4x³ - 8x² - 3x + 6

(4x² - 8x - 3)(x - 2)

Factoring Trinomials

100

x² + 7x + 10

(x + 5)(x + 2)

200

2x² - 5x - 3

(2x - 3)(x + 1)

300

3x² + 10x + 8

(3x + 2)(x + 4)

400

4x² - 12x + 9

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

500

5x² + 14x + 8

(x + 2)(5x + 4)

Factoring Special Forms

100

x² - 64

(x + 8)(x - 8)

200

4x² - 36

4(x + 3)(x - 3)

300

9y² - 16z²

(3y + 4z)(3y - 4z)

400

25x² - 4y²

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

500

a⁴ - 16b⁴.

(a² + 4b²)(a² - 4b²)