Polynomial Operations and Factoring Review

Add/Subtract

100

3x^2+2x-4+x^2+3x+2

What is 4x^2+5x-2

200

6x^2-3x+5-3x^2+4x^3+1

What is 4x^3+3x^2-3x+6

300

(4x^2+6x+3)-(2x^2+3x-2)

What is 2x^2+3x+5

400

Subtract (-4x^2-2x-1) from (-5x^2+3x-2)

What is -x^2+5x-1

500

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

What is -3x^3-2x^2-12x-4

Multiply!

100

(x+3)(x+4)

What is x^2+7x+12

200

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

What is 6x^2+23x+20

300

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

What is 5x^2+3x-2

400

Expand: (7x- 9)^2

What is 49x^2 - 126x + 81

500

(-8x^2 - 2x +9)(6x-2)

What is -48x^3 + 4x^2 +58x - 18

Find GCF to Factor

100

6x-3

What is 3(2x-1)

200

4x^2+12x

What is 4x(x+3)

300

5x^3-25x^2

What is 5x^2(x-5)

400

3x^5+7x^7

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

500

-9x^3-27x^6

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

Factor Trinomials

100

x^2+5x+6

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

200

x^2+11x+24

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

300

6x^2+x-1

What is (3x-1)(2x+1)

400

5x^2+12x+4

What is (5x+2)(x+2)

500

6x^2- 13x+6

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

Factoring Completely and Special Cases

100

The binomial show is a difference of two squares. Factor it! x^2 - 25

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

200

The binomial show is a difference of two squares. Factor it! 16x^2 - 36

What is 4(2x+ 3)(2x - 3)

300

Factor the perfect square trinomial: 4x^2 - 12x + 9

What is (2x - 3)^2

400

Factor the trinomial completely: 6x^3 - 18x^2 + 12x

What is 6x(x - 2)(x - 1)

500

Factor the perfect square trinomial completely: 4x^2 + 2x -12

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