REVIEW ON FACTORING

Simple Trinomials

100

x² + 7x + 10

(x+5)(x+2)

200

x² - 12x + 27

(x-9)(x-3)

300

x² + 2x - 24

(x+6)(x-4)

400

x² - 5x + 6

(x-3)(x-2)

500

Factor into two binomials: y⁴ - 7y² - 18

(y²-9)(y²+2)

Complex Trinomials

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+24y+11

(2y+11)(2y+1)

500

2x² + x -15

(2x-5)(x+3)

Factor Completely

100

Factor 3x² - 12x

3x(x-4)

200

6m² - 22m - 8

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

300

6x² - 600x

6(x+10)(x-10)

400

4ab²-12a²b

4ab(b-3a)

500

2x(x-3)-(x-3)

(x-3)(2x-1)

Difference of/Perfect Squares

100

a²b² - 144a²

a²(b+12)(b-12)

200

Factor completely: x⁴ - 625

(x+5)(x-5)(x²+25)

300

Factor completely: y⁴ - 81

(y²+9)(y+3)(y-3)

400

25x² + 40xy + 16y²

(5x + 4y)²

500

100f² - 120fg + 36g²

4(5x-3)²

Type of Factoring

100

a² + 3ab² - 7b²

Common factoring

200

a² + a - ab - b

Factoring by Grouping

300

2x² + 6x - 20

Common Factoring & Simple Trinomial

400

2(x-y)² - 200

Common Factoring & Difference of Squares

500

300x² + 108

Common Factoring