Polynomials Review:

Adding and Subtracting Polynomials

100

Simplify (3x² + 2x) + (5x² + 7x)

What is 8x²+ 9x

200

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

What is 4x³-7x² + 6x

300

Simplify (2x² + 3x - 7) + (-x² + 5x + 4)

What is x²+8x-3

400

Simplify (4x⁴ - 2x² + 6) - (x⁴ + 3x² - 1)

What is 3x⁴ - 5x² + 7

500

Simplify (7x³ - 5x² + 2x - 9) + (3x³ + 4x² - 6x + 11)

What is 10x³ - x² - 4x + 2

Multiplying Binomials

100

Multiply:(x + 2)(x + 3)

What is x² + 5x + 6

200

Multiply:(x - 4)(x + 5)

What is x² + x - 20

300

Multiply:(2x + 3)(x - 1)

What is 2x² + x - 3

400

Multiply:(3x - 2)(2x + 5)

What is 6x² + 11x - 10

500

Multiply (x + 6)(x - 6)

What is x²-36

Polynomials Special Products

100

Expand (x+ 5)²

What is x² + 10x + 25

200

Expand (x-7)²

What is x²-14x+49

300

Expand (2x-3)²

What is 4x² + 12x + 9

400

Expand (x+4)(x-4)

What is x²-16

500

Expand (3x - 2y)(3x + 2y)

What is 9x² - 4y²

Factoring Trinomials

100

Factor x² + 7x + 12

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

200

Factor x² - 5x + 6

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

300

Factor x² + 2x - 15

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

400

Factor 2x² + 9x + 7

What is (2x+7)(x+1)

500

Factor 3x² - 8x + 4

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

Factoring Polynomial Special Products:

100

Factor x² - 25

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

200

Factor x² + 12x + 36

What is (x+6)²

300

Factor 4x² - 9

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

400

Factor 9x² - 24x + 16

What is (3x - 4)²

500

Factor 25x² - 36y²

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