Factoring

GCF

100

The GCF of 2x³ - 8x² + 4x⁵

What is 2x²(x - 4 + 2x³)

200

The GCF of 25x³y - 50x⁴y + 15x²y²

What is 5x²y(5x - 10x² + 3y)

300

The GCF of 14xyz² - 21x²y³z² + 49x²yz²

What is 7xyz²(2 - 3xy² + 7x)

400

The GCF of 24x³y⁴z⁷ + 36xy²z³ - 60x²yz⁶

What is 12xyz³(2x²y³z⁴ + 3y - 5xz³)

500

The GCF of 32a⁵b³c⁷ + 40a⁶b³ - 64a⁹c⁴

What is 8a⁵(4b³c⁷ + 5ab³ - 8a⁴c⁴)

Diff of Perfect Sq

100

x² - 9 Factored

What is (x + 3)(x - 3)

200

Factored x² - 64

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

300

Factored 36 - x²

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

400

Factored 100 - 4x⁶

What is (10 - 2x³)(10 + 2x³)

500

Factored 16x¹⁸ - 81

What is (4x⁹ - 9)(4x⁹ + 9)

Trinomial

100

Factor x² + 8x + 7

What is (x+7)(x+1)

200

Factor x² - 10x + 9

What is (x - 9)(x - 1)

300

Factor x² +x - 6

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

400

Factor x² - 4x - 12

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

500

Factor x² - 5x + 6

What is (x -3)(x - 2)

Factor Completely

100

2x² - 18

2(x - 3)(x + 3)

200

3x³y - 12xy

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

300

x³ - x² - 6x

x(x + 2)(x - 3)

400

x⁴ + 7x³ + 12x² 

x²(x + 3)(x + 4)

500

2x³y + 2x²y - 24xy

2xy(x + 4)(x - 3)

Sum and Diff of Cubes

100

 x³ - 27

(x - 3)(x² + 3x + 9)

200

x³ - 64

(x - 4)(x² + 4x + 16)

300

1 + 125x³

(1 + 5x)(1 - 5x + 25x²)

400

27 - 8x³

(3 - 2x)(9 + 6x + 4x²)

500

125 + 216x³

(5 + 6x)(25 - 30x + 36x²)