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+6

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 the 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(x-1)

200

4x²+12x

What is 4x(x+3)

300

5x³-25x²

What is 5x^2(x-5)

400

3x⁵ + 7x⁷

What is x^5(3+7x^2)

500

-9x³ - 27x⁶

What is -9x^3(1+3x^3)

Factor Trinomials(quadratics) 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)

Factor Trinomials(quadratics) when a ≠ 1

100

3x²-2x-5

(3x-5)(x+1)

200

2n² + 3n -9 

(2n-3)(n+3)

300

3x² -8x +4 

(3n-2)(n-2)

400

5y² +19y +12

(5y+4)(y+3)

500

7a²+53a+28

(7a+4)(a+7)