Algebra 1 Factoring

Column A

100

2x^3 + 2x

2x(x^2 + 1)

200

25x^6 - 36x^2

(5x^3 - 6x)(5x^3 + 6x)

300

x²-x-12

(x-4)(x+3)

400

8-98x^6

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

500

4x⁴-28x²-576

4(x²+9)(x-4)(x+4)

Column B

100

x^2-x

x(x-1)

200

25-x^2

(5-x)(5+x)

300

x²+6x+8

(x+2)(x+4)

400

x⁴+5x²-36

(x²+9)(x-2)(x+2)

500

16x^4-81

(2x-3)(2x+3)(4x^2+9)

Column C

100

2xy-2x

2x(y-1)

200

x^2 - 9y^4

(x-3y^2)(x+3y^2)

300

x²-21x+112

(x-8)(x-14)

400

18x^2-2

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

500

10x^4-160

10(x-2)(x+2)(x^2+4)

Column D

100

9x+12x^2

3x(3+4x)

200

4-49x^2

(2-7x)(2+7x)

300

x²+x-30

(x+6)(x-5)

400

8x^3-200x

8x(x-5)(x+5)

500

x⁸-256

(x⁴+16)(x²+4)(x+2)(x-2)

Column E

100

3x^7-15x

3x(x^6-5)

200

36-x^6

(6-x^3)(6+x^3)

300

x²-30x+221

(x-13)(x-17)

400

5x²+10x+5

5(x+1)²

^or

5(x+1)(x+1)

500

x⁴-11x²-900

(x²+25)(x-6)(x+6)