Algebra 2- Factoring

Grouping

100

Factor x³+x²-8x-8

What is (x²-8)(x+1)?

200

Factor x³+6x²-4x-24 

What is (x+6)(x+2)(x-2)?

300

Factor 10x³-6x²+5x-3

What is (5x-3)(2x²+1)?

400

Factor 3x³-16x²-12x+64

What is (3x-16)(x+2)(x-2)?

500

Factor wy+wz-2xy-2xz

What is (y+z)(w-2x)?

Sum/Difference of Cubes

100

Factor x³+8

(x+2)(x²-2x+4)

200

Factor x³-27

What is (x-3)(x²+3x+9)?

300

Factor 8-x⁶

What is (2-x²)(4+2x²+x⁴)?

400

Factor 7n³-7

What is 7(n-1)(n²+n+1)?

500

Factor (x-2)³-1

What is (x-3)(x²-3x+3)?

DOTS

100

Factor (x²-81)

What is (x+9)(x-9)?

200

Factor 16x⁴-1

What is (4x²+1)(2x+1)(2x-1)?

300

Factor 50x⁴-2x²

What is 2x²(5x+1)(5x-1)?

400

Factor b²-(a-c)²

What is (b+a-c)(b-a+c)?

500

Factor 25(4x²-12xy+9y²)-9a²b²

What is (10x-15y+3ab)(10x-15y-3ab)?

Trinomials

100

Factor x²+6x-16

What is (x+8)(x-2)?

200

Factor x⁴-7x²-8

What is (x²-8)(x²+1)?

300

Factor 6x²-11x-10

What is (3x+2)(2x-5)?

400

Factor 5c+20c²+20c³

What is 5c(2c+1)(2c+1)?

500

Factor 4(a+b)²-(a+b)-5

What is (4a+4b-5)(a+b+1)?

Miscellaneous

100

Factor x³−15x²+50x

What is x(x-10)(x-5)?

200

Factor 5x²+4x−9

What is (5x+9)(x−1)?

300

Factor x⁴−4x²−45

What is (x+3)(x−3)(x²+5)?

400

Factor 6x⁷+3x⁴−9x³

What is 3x³(x-1)(2x³+2x²+2x+3)? 

500

Factor 64g⁶−1

What is (2g−1)(2g+1)(16g⁴+4g²+1)?