Factoring Quadratics

Special Cases

100

x²-16

(x+4)(x-4)

200

x² - 4

(x+2)(x-2)

300

4x² - 16

(2x+4)(2x-4)

400

x² - 6x + 9

(x-3)²

500

4x² - 12x + 9

(2x-3)²

Special Cases (Cont'd)

100

x² - 36

(x+6)(x-6)

200

x² - 25

(x-5)(x+5)

300

25x² -36

(5x+6)(5x-6)

400

x² + 10x + 25

(x+5)²

500

9x² - 24x + 16

(3x - 4)²

Basic Factoring

100

x² +3x + 2

(x+1)(x+2)

200

x² - 9x + 20

(x - 5)(x - 4)

300

x² + 2x + 1

(x+1)(x+1)

400

3x² - 5x +2

(3x - 2)(x - 1)

500

2x² + 3x - 5

(2x + 5)(x - 1)

Basic Factoring

100

x² - 2x - 3

(x+1)(x-3)

200

x² - 25

(x + 5)(x - 5)

300

x²+5x+6

(x+3)(x+2)

400

2x²+8x+8

2(x+2)(x+2)

or

2(x+2)²

500

3x² - 6x + 3

3(x - 1)²
or

3(x - 1)(x - 1)

Quadratic or Linear?

100

x + 1

Linear

200

x²

Quadratic

300

25+x

Linear

400

(x+5)²

Quadratic

500

x³

Neither

(Cubic)