Factoring Polynomials

GCF

100

10x³ + 15x

5x(2x²+3)

200

24x² - 36x

12x(2x-3)

300

32x⁴ - 40x²

8x²(4x² - 5)

400

16x² – 4x

4x(4x - 1)

500

30x³ - 20x² + 15x

5x(6x² - 4x + 3)

Special Products

100

x² — 9

(x+3)(x-3)

200

36x² — 1

(6x+1)(6x-1)

300

p² + 30p + 225

(p+15)²

400

x² - 16x + 64

(x-8)²

500

25x²-20x+4

(5x-2)²

x^2+bx+c

100

x² + 7x + 12

(x+4)(x+3)

200

x² - 13x + 12

(x-12)(x-1)

300

x² + 3x - 18

(x+6)(x-3)

400

x² - 13x + 36

(x-4)(x-9)

500

x² - 9x - 22

(x-11)(x+2)

ax^2+bx+c

100

2x² + 9x + 4

(2x+1)(x+4)

200

3x² - 7x + 2

(3x-1)(x-2)

300

4x² + 8x - 5

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

400

5x² - 12x + 4

(5x-2)(x-2)

500

9x² + 6x - 8

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

Grouping

100

4x(x+3)+5(x+3)

(x+3)(4x+5)

200

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

(x+1)(3x+1)

300

x³ + 3x² + 5x + 15

(x+3)(x²+5)

400

2x³ + 3x² + 2x +3

(2x+3)(x² +1)

500

2x³ + 6x² - 4x -12

(x+3)(2x²- 4)