Polynomial Operations and Factoring Review

Add/Subtract

100

(3x²+2x-4)+(x²+3x+2)

What is 4x²+5x-2

200

6x²-3x+5-(4x²+3x+1)

What is 2x²-6x+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)

What is -3x³-2x²-12x-4

Multiply!

100

(x+3)(x+4)

What is x²+7x+12

200

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

What is 6x²+23x+20

300

Determine the product of the two binomials (5x-2) and (x+1).

What is 5x²+3x-2

400

Expand: (7x- 9)²

What is 49x² - 126x + 81

500

(-8x² - 2x +9)(6x-2)

What is -48x³ + 4x²+58x - 18

Find GCF to Factor

100

6x-3

What is 3(2x-1)

200

4x²+12x

What is 4x(x+3)

300

5x³-25x²

What is 5x²(x-5)

400

3x⁵+7x⁷

What is x⁵(3+7x²)

500

-9x³-27x⁶

What is -9x³(1+3x³)

Factor Trinomials when a = 1

100

x²+5x+6

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

200

x²+11x+24

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

300

x²-2x-15

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

400

x²+x-42

What is (x+7)(x-6)

500

x²- 24x+144

What is (x-12)(x-12)

Factoring Completely and Special Cases

100

The binomial show is a difference of two squares. Factor it! x² - 25

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

200

The binomial show is a difference of two squares. Factor it! 16x² - 36

What is (4x+ 6)(4x - 6)

300

Factor the perfect square trinomial: 4x² - 12x + 9

What is (2x - 3)²

400

Factor:   x² - 81

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

500

Factor:   25x² - 36

What is (5x - 6)(5x + 6)