FACTORING POLYNOMIALS

Factoring trinomials

100

 x²+8x+12

(x+6)(x+2)

200

 m²-11m+18

(m-9)(m-2)

300

 x²+5x-24

(x+8)(x-3)

400

 y²+10y-24

(y-2)(y+12)

500

 x²-x-6

(x-3)(x+2)

Factor Completely

100

18-8a²

2(3+2a)(3-2a)

200

x³-13x²-30x

x(x+2)(x-15)

300

3x² - 15x - 42

3(x-7)(x+2)

400

3x² + 24x + 48

3(x+4)(x+4)

500

5a⁴ - 125b²

5(a² - 5b)(a² + 5b)

Factor Difference of Squares

100

9x²-1

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

200

4n²-49

(2n+7)(2n-7)

300

36a²-9b⁴

(6a-3b²)(6a+3b²)

400

49x²-25y¹⁰z⁸

(7x+5y⁵z⁴)(7x-5y⁵z⁴)

500

Factor Completely: x⁴-16y⁸

(x-2y²)(x+2y²)(x²+4y⁴)

Factor by GCF

100

 14n²+10n

2n(7n+5)

200

 18x³-6x

6x(3x²-1)

300

 8-4a²

4(2-a²)

400

  10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

500

12x⁴y²-144x²y⁵+24x³y

12x²y(x²y-12y⁴+2x)

Factor Completely

100

4x²-4x-120

4(x-6)(x+5)

200

8x⁴-200

8(x²-5)(x²⁺5)

300

2x¹⁴-32

2(x⁷-4)(x⁷+4)

400

2x³+2x²-12x

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

500

2x⁴-162y⁴

2(x-3y)(x+3y)(x²+9y²)