Polynomial Operations and Factoring Review

Add/Subtract

100

(3x²+2x-4)+(x²+3x+2)

What is 4x²+5x-2

200

(6x²-3x+5)-(3x²-4x³+1)

What is 4x³+3x²-3x+4

300

(4x²+6x+3)-(2x²+3x-2)

What is 2x²+3x+5

400

Subtract (-4x²-2x-1) from (-5x²+3x-2)

What is -x²+5x-1

500

(4x²-2x+1)-(3x³+6x²+10x+5)+(x³+4x-2)

What is -2x³-2x²-8x-6

Multiply!

100

(x+3)(x+4)

What is x²+7x+12

200

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

What is 6x²+23x+20

300

Expand: (7x- 9)²

What is 49x² - 126x + 81

400

Expand (2x+3y)³

What is 8x³ +36x²y +54xy²+27y³

500

(-8x² - 2x +9)(6x-2)

What is -48x³ + 4x² +58x - 18

Factor Level 1

100

6x-3

What is 3(x-1)

200

8x³+12x

What is 4x(2x²+3)

300

-15x³y-25x²y⁴

What is -5x²y(3x+5y³)

400

x²+3x+2

What is (x+2)(x+1)

500

4x² - 9y²

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

Factor Level 2

100

x²+5x+6

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

200

x²-5x-24

What is (x+3)(x-8)

300

Factor 4x² - 12x + 9

(2x-3)²

400

Factor 6x³ - 18x² + 12x

What is x(x - 2)(x - 1)

500

6x²+ 35x-75

What is (3x-5)(2x+15)

Factor level 3

100

 Factor it!        x² - 25

What is (x+5)(x - 5)

200

Factor!!  18x⁴ - 50

What is 2(3x²+ 5)(3x² - 5)

300

Factor 4x³- 6x² +2x- 3

(2x-3)(2x²+1)

400

Factor 64n³-27

What is (4n-3)(16n²+12n+9)

500

Factor! 9a² + 24ab + 16b²

What is (3a + 4b)²