Factoring Review

Identify the Strategy

100

Which factoring strategy would be best to factor 8x²+24x?

Greatest Common Factor (GCF)

200

Which factoring strategy would be best to factor x²-16?

Difference of Two Squares (DTS)

300

Which factoring strategy would be best to factor 2x²+11x+32?

Trinomial Methods (Trial and Error, British, Box)

400

Which factoring strategy would be best to factor 3x³+17x²-9x-51?

Grouping

500

Which factoring strategy would be best to factor   64x⁶-27?

Difference of Two Cubes (DTC)

Binomials

100

Factor the following binomial completely:

14x²+21x

7x(2x+3)

200

Factor the following binomial completely:

4x²-25

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

300

Factor the following binomial completely:

x³+64

(x+4)(x²-4x+16)

400

Factor the following binomial completely:

8x³-27

(2x-3)(4x²+6x+9)

500

Factor the following binomial completely:

2x³-8x

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

Trinomials

100

Factor the following trinomial completely:

x²+11x+18

(x+9)(x+2)

200

Factor the following trinomial completely:

x²+15x-34

(x+17)(x-2)

300

Factor the following trinomial completely:

3x²-8x+4

(3x-2)(x-2)

400

Factor the following trinomial completely:

5x²-18x+9

(5x-3)(x-3)

500

Factor the following trinomial completely:

15x²-27x-6

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

Polynomials

100

Factor the following polynomial completely:

2x³+5x²+6x+15

(x²+3)(2x+5)

200

Factor the following polynomial completely:

3x³-4x²+9x-12

(x²+3)(3x-4)

300

Factor the following polynomial completely:

12x³+4x²+3x+1

(4x²+1)(3x+1)

400

Factor the following polynomial completely:

12xy-28x-15y+35

(4x-5)(3y-7)

500

Factor the following polynomial completely:

40xy+30x-100y-75

5(2x-5)(4y+3)

Multi Step

100

Factor completely:

x⁴-16

(x+2)(x-2)(x²+4)

200

Factor completely:

x⁴-16

(x+2)(x-2)(x²+4)

300

Factor completely:

x⁴-5x²-36

(x+3)(x-3)(x²+4)

400

Factor completely:

x³-5x²-x+5

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

500

Factor completely:

8x⁴-2x³-32x²+8x

2x(x+2)(x-2)(4x-1)