Polynomial Operations & Factoring Review

Add/Subtract

100

3x² + 2x - 4 + x² + 3x + 2

4x² + 5x - 2

200

6x² - 3x + 5 - 3x² + 4x³ + 1

4x³ + 3x² - 3x + 6

300

(4x² + 6x + 3) - (2x² + 3x - 2)

2x² + 3x + 5

400

(-5x² + 3x - 2) - (-4x² - 2x - 1)

-x² + 5x - 1

500

(4x² - 2x + 1) - (3x³ + 6x² + 10x + 5)

-3x³ - 2x² - 12x - 4

Multiply

100

(x + 3)(x + 4)

x² + 7x + 12

200

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

6x² + 23x + 20

300

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

5x² + 3x - 2

400

Expand & Multiply: (7x - 9)²

49x² - 126x + 81

500

(-8x² - 2x + 9)(6x - 2)

-48x³ + 4x² + 58x - 18

Find GCF to Factor

100

6x - 3

3 (2x - 1)

200

4x² + 12x

4x (x + 3)

300

5x³ - 25x²

5x² (x - 5)

400

3x⁵ + 7x⁷

x⁵ (3 + 7x²)

500

-9x³ - 27x⁶

-9x³ (1 + 3x³)

Factor Simple Trinomials

100

x² + 5x + 6

(x + 3)(x + 2)

200

x² + 11x + 24

(x + 3)(x + 8)

300

x² - 2x - 15

(x - 5)(x + 3)

400

x² + x - 42

(x + 7)(x - 6)

500

x² - 24x + 144

(x - 12)(x - 12)

Factoring & Special Cases

100

x² - 25

(x + 5)(x - 5)

200

16x² - 36

(4x + 6)(4x - 6)

300

4x² - 12x + 9

(2x - 3)² 

OR

(2x - 3)(2x - 3)

400

6x³ - 18x² + 12x

6x (x - 2) (x - 1)

500

9a² + 24a + 16

(3a + 4)²