FACTORING REVIEW

Factoring trinomials when a>1

100

2x²-7x+6

(2x-3)(x-2)

200

9x²+6x+1

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

300

2x²-x-6

(x-2)(2x+3)

400

4y²+12y+9

(2y+3)(2y+3)

500

8x² + 2x - 3

(4x + 3)(2x - 1)

Factor by grouping

100

3x² + 6x + 4x + 8

(x + 2)(3x + 4)

200

3x³ + 2x² + 6x + 4

(3x + 2)(x² + 2)

300

6x⁴ - 24x³ - 5x + 20

(x - 4)(6x³ - 5)

400

2x² + 6x - x - 3

(x + 3)(2x - 1)

500

2c³ + 3c² - 2c - 3

(2c + 3)(c - 1)(c + 1)

Factoring the difference or sum of perfect cubes

100

x⁶+125

(x²+5)(x⁴-5x²+25)

200

x³-27

(x-3)(x²+3x+9)

300

x⁹-8

(x³-2)(x⁶+2x³+4)

400

8x³-216

(2x-6)(4x²+12x+36)

500

-27y⁹+125

(-3y³+5)(9y⁶+15y³+25)

Factoring the difference of two perfect squares

100

x²-16

(x+4)(x-4)

200

9-x²

(3+x)(3-x)

300

25y²-4

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

400

4x²-400

4(x-10)(x+10)

500

x²+100

Can not be factored because of the plus sign.

Factor completely

100

3x²-12x

3x(x-4)

200

3x²y²-2xy

xy(3xy-2)

300

2x³+34x²-76x

2x(x+19)(x-2)

400

2x⁵-50x

2x(x²-5)(x²+5)

500

128x¹⁵-2

2(4x⁵-1)(16x¹⁰+4x⁵+1)