Factor, Factor, Factor!

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 - 7a⁴c⁴)

D2PS

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

Factored x² + 8x + 7

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

200

Factored x² - 10x + 9

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

300

Factored x^2 +x - 6

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

400

Factored x² - 4x + 12

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

500

Factored x² - 5x + 6

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

Factoring 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)

Misc.

100

Solve for x: x + 3 = 8

What is x = 5

200

Solve for x: 4x = 24

What is x = 6

300

Solve for x: -9x + 1 = -80

What is x = 9

400

Multiply: (3x²)³

What is 27x⁶

500

Subtract: (6x - 2y - 6) - (-3x - 5y - 4)

What is 27x⁶