Polynomial Operations

Vocabulary

100

The degree of this monomial: 8a³

What is 3

200

The degree of this polynomial and leading coefficient: -3c⁷+8c³+c

What is degree of 7 and leading coefficient of -3

300

This polynomial in standard form and type: x²+4-3x

What is x²-3x+4 and trinomial

400

This polynomial in standard form and the type: 5y-2y²

What is -2y²+5y and binomial

500

This polynomial in standard form and the degree: 4x-1+5x³+7x

What is 5x³+11x-1 and degree of 3

Addition & Subtraction

100

Find the sum: 12p² + 8p²

What is 20p²

200

Simplify: (4w-5) - (9w+2)

What is -5w-7

300

Simplify: (6x²+7) + (3x²+1)

What is 9x²+8

400

Simplify: (2k²-k+3) - (5k²+3k-7)

What is -3k²-4k+10

500

Simplify: (2g⁴-3g+9) + (-g³+12g)

What is 2g⁴-g³+9g+9

Multiplication

100

Multiply: (x+7)(x+4)

What is x²+11x+28

200

Multiply: (2h-7)(h+9)

What is 2h²+11h-63

300

Multiply: (5m-2)²

What is 25m²-20m+4

400

Multiply: (7x - 3)(x² - 2x + 7)

What is 7x³ - 17x² + 55k - 21

500

Multiply: (6n² - 6n - 5)(7n² + 6n - 5)

What is 42n⁴ - 6n³ - 101n² + 25

Solving

100

Solve: (x + 2)(x+4) = 0

What is x = -2 and x = -4

200

Solve: (4x + 3)(x - 10) = 0

What is x = -3/4, 10

300

Solve: 2w(-3w + 8)(3w + 2) = 0

What is w = 0, 8/3, -2/3

400

Solve:  -6x² + 48x = 0

What is x = 0, 8

500

Solve: 3x² - 5x = -2

What is x = 2/3, 1

Factoring

100

Factor: x² - 7x - 18

What is (x - 9)(x + 2)

200

Factor: 7x² - 32x - 60

What is (7x + 10)(x - 6)

300

Factor: 35xy - 5x - 56y + 8

What is (5x - 8)(7y - 1)

400

Factor: 5n³ - 10n² + 3n - 6

What is (5n² + 3)(n - 2)

500

Factor: 4x³ + 43x² + 30x

What is x(x + 10)(4x + 3)