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

Simplify: (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: (5m-2)²

What is 25m²-20m+4

400

Simplify: (v+6)(v-6)

What is v²-36

500

Simplify: (6t²+1)²

What is 36t⁴+12t²+1

(Blank)

100

Simplify: 7(x+4)

What is 7x+28

300

Simplify: -w²(w-15)

What is -w³+15w²

400

Simplify: 4x(2x³-7x²+x)

What is 8x⁴-28x³+4x²

500

Simplify: -8y³(7y²-4y-1)

What is -56y⁵+32y⁴+8y³

GCF & Factoring

100

Find the GCF of 12x+20

What is 4

200

Find the GCF of 4x³+12x²-28x

What is 4x

300

Factor: 9x-6

What is 3(3x-2)

400

Factor: t²+8t

What is t(t+8)

500

Factor: 14x³-2x²+8x

What is 2x(7x³-x+4)