Polynomial Operations

Vocabulary

100

When you put the terms in an expression in descending order.

e.g. 17x³ - 10x² + 21x - 10

What is standard form?

200

When adding or subtracting polynomials you must make sure they are...

e.g. 3x² and 19x²

What are like-terms?

300

An expression with one or more terms.

What is a polynomial?

400

The largest term that divides each of the terms evenly.

What is the greatest common factor?

500

A formal math term for what a negative exponent does to its base.

What is the inverse or reciprocal?

Addition & Subtraction

100

(3x² - 4) + (4x² + 10)

What is 7x² + 6?

200

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

What is -5w - 7 ?

300

(6x² + 7x - 10) + (3x² + 18x + 12)

What is 9x² + 25x + 2?

400

(2k² - 8k + 3) - (5k² + 3k - 7)

What is -3k² - 11k + 10?

500

(2g⁴-3g+9) + (-g³+12g)

What is 2g⁴-g³+9g+9

Multiply

100

Simplify: 2b(3b-11)

What is 6b²-22b

200

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

What is 2h²+11h-63

300

Simplify: (x+6)(x-6)

What is x²-36

400

Simplify: (5m-2)²

What is 25m²-20m+4

500

Simplify: (4x - 7)(5x² + 7x - 11)

What is 20x³ - 13x² - 83x + 77

Exponents

100

(4x³)(5x⁹)

What is 20x¹¹

200

(5x⁸)³

What is 125x²⁴

300

(6x⁸)(8x³)(-2x¹³)

What is -96x²⁴

400

(3x⁴y⁵)^-2(2x⁵y²)³

What is 8x⁷/9y⁴

500

(4x⁵)³ - (3x⁸)(12x⁷)

What is 28x¹⁵

GCF Factoring & Solving

100

Find the GCF of 12x+20

What is 4

200

Find the GCF of 4x³+12x²-28x

What is 4x

300

Factor: 9x²-6x

What is 3x(3x - 2)

400

Factor and solve: 4x²+8x = 0

What is 4x(x + 2) = 0 and t = 0, t = -2

500

Factor and solve: 36x³ - 24x² = 0

What is 6x²(6x - 4) = 0 and x = 0, x = 4/6