REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x² + 10x + 25

(x+5)(x+5)

200

Factor into two binomials: x² - 12x + 27

(x-9)(x-3)

300

Factor into two binomials: x² + 2x - 24

(x+6)(x-4)

400

Factor into two binomials: x² - 5x + 6

(x-3)(x-2)

500

Factor into two binomials: y⁴ - 7y² - 18

(y² - 9)(y² - 2)

Factoring trinomials when a>1

100

Factor 2x² - 7x + 6

(2x-3)(x-2)

200

Factor 9x² + 6x + 1

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

300

Factor 2x² - x - 6

(x-2)(2x+3)

400

Factor 4y² + 12y + 9

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

500

Factor: ax² - bx - ax + b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x² - 12x

3x(x-4)

200

Factor: 6b³ + 30a

6(b³ + 5a)

300

Factor: 90a⁸b + 50a²b³ + 20ab⁵

10ab(9a⁷ + 5ab² + 2b⁴)

400

Factor: b² + 5b + 40

Prime

500

Factor: 40ab⁵c⁴ + 48a⁴bc⁴ - 40abc⁶ + 48abc³

8abc³(5b⁴c + 6a³c - 5c³ + 6)

Factor completely

100

Factor completely: 6x² - 24x - 72

6(x - 6)(x + 2)

200

Factor completely: x⁴ - 625

(x + 5)(x - 5)(x² + 25)

300

Factor completely: y⁴ - 81

(y² + 9)(y + 3)(y - 3)

400

Factor completely: 2x³ + 14x² - 60x

2x(x+10)(x-3)

500

Factor completely: 80-5d²

5(4+d)(4-d)

Factoring the difference of squares

100

Factor: x² - 16

(x+4)(x-4)

200

Factor: 9 - x²

(3+x)(3-x)

300

25y² - 4k²

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

400

4x² - 36y²

4(x + 3y)(x - 3y)

500

x² + 100

Can not be factored because of the plus sign.