Algebra 2 Factoring

Greatest Common Factor

100

6x+12

6(x+2)

200

15x²y-10xy²

5xy(3x-2y)

300

18x⁴y³-27x³y²+9x²y

9x²y(2x²y-3xy+1)

400

36a⁴b - 60a²b³ +24ab²

12ab(3a³-5ab²+2b)

500

48x⁵-72x³y²+24x²y3

24x²(2x³-3xy²+y³)

Factoring Trinomials

100

x²+5x+6

(x+3)(x+2)

200

x²-3x-10

(x-5)(x+2)

300

2x²+7x+3

(2x+1)(x+3)

400

3x²-11x-4

(3x+1)(x-4)

500

2x²+11x+12

(2x+3)(x+4)

Special Products

100

x²-16

(x-4)(x+4)

200

9x²-1

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

300

x²+6x+9

(x+3)(x+3)

400

4x²-12x+9

(2x-3)²

500

25x²-30x+9

(5x-3)²

Factoring by Grouping

100

(2x²+2x)+(x+1)

(2x+1)(x+1)

200

(4x²+2x)+(2x+1)

(2x+1)(2x+1)

300

(6x²+3x)+(8x+4)

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

400

(2x³+6x²)+(3x+9)

(x+3)(2x²+3)

500

(12x⁴+9x²)+(8x²+6)

(3x²+2)(4x²+3)

Challenging

100

12x²+7x-5

(x+1)(12x-5)

200

x⁴-81x⁴

-80x²

300

10x²+x-2

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

400

6x²-19x-7

(2x-7)(3x+1)

500

18x³+3x²-6x

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