Factoring

Greatest Common Factor

100

Factor 8a - 16

8(a - 2)

200

The GCF of 

25xzy - 45zy + 125xz 

5z.

300

Factor

9x²y - 45xy + 9zy²

9y(x² - 5x + zy).

400

Factor 

20x³z⁴ - 15x²z³ + 5x²z².

5x²z²(4xz² - 3z + 1)?

500

Factor

4d(d + 2) + 9(d + 2)

(d + 2)(4d + 9)?

Trinomials with leading coefficient of 1

100

Factor x² + 6x + 8

(x + 4)(x + 2).

200

Factor

x^2 - 12x + 27

(x - 9)(x - 3)?

300

Factor

x^2 + 5x - 24

(x + 8)(x - 3)?

400

Factor x² - 10x - 24

(x - 12)(x + 2)

500

Factor

w^2 - 20 w - 125

(w + 5)(w - 25)?

Factoring by Grouping

100

Factor

 3x³ - 21x² + 2x - 14 

(3x² + 2)(x - 7) 

200

Factor x³ + 4x² + 8x + 32

(x² + 8)(x + 4)

300

Factor

8x² + 12x + 2xy + 3y

(4x + y)(2x + 3)

400

Factor

c²d + 3c² - 7d² - 21d

(c² - 7d)(d + 3)

500

Factor

40x^3 - 50x^2 + 12x - 15

(10x^2 + 3)(4x - 5)

Trinomials with leading coefficient greater than 1

100

Factor

5x^2 + 17x + 6

(x + 3)(5x + 2)?

200

Factor

6x² + 7x - 3 

What is

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

300

Factor

10z^2 + 13z - 9

(5z + 9)(2z - 1)?

400

Factor

4x^2 - 12x - 7

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

500

Factor

-4c^2 - 8c + 45

-1(2c + 9)(2c - 5)?

Factor completely

100

Factor

24x + 40

8(3x + 5)?

200

Factor

2y^2 - 6y - 56

2(y+ 4)(y - 7)?

300

Factor

3a^2 + 9a -54

3(a + 6)(a - 3)?

400

Factor (There should be three factors in your final answer)

5y^3 - 45y + 3y^2 - 27

(5y + 3)(y + 3)(y - 3)?

500

Factor (There should be three factors in your final answer)

x^3 - 9x

What is x(x - 3)(x + 3)