Polynomial Operations

Classifying Polynomials

100

The name of a polynomial with one term

Monomial

200

This polynomial has three terms: x² + 2x + 3. It is known as a _________________

Trinomial

300

How many terms does a binomial have?

Two terms

400

What is the degree of this polynomial x⁵ + x² -2x⁶?

6

500

Put this polynomial in standard form: -3x + 2x² - 8x⁴ + 10

-8x⁴ + 2x² - 3x + 10

Adding Polynomials

100

(x² + 2x) + 3x. Put your answer in standard form

x² + 5x

200

(2x + 1) + (3x + 5). Put your answer in standard form.

5x + 6

300

(4x² + 2x) + (3x² + 6x). Put your answer in standard form.

7x² + 8x

400

(-5x² + 7x) + (2x + 8). Put your answer in standard form.

-5x² + 9x + 8

500

(-6x² + 2x - 5) + (10x³ - 7x + 2x² + 7). Put your answer in standard form.

10x³ - 4x² - 5x + 2

Subtracting Polynomials

100

x² - (3x² + 2x) 

-2x² - 2x

200

(x + 7) - (2x - 3)

-x + 10

300

(x² + 5x) - (-6x² - 7x)

7x² + 12x

400

(9x² + 3x - 5) - (2x - 19)

9x² + x + 14

500

(5x² + 3x³ - 7x + 10 - 8x) - (3x² + 10x - 17)

3x³ + 2x² - 25x + 27

Multiplying Polynomials

100

5(x + 7)

5x + 35

200

10x(-3x - 10)

-30x² - 100x

300

2x²(5x³ - 10x + 8)

10x⁵ - 20x³ + 16x²

400

(x⁴ - 6x²)(10x² + 14x - 5)

10x⁶ + 14x⁵ - 65x⁴ - 84x³ + 30x²

500

(5x² - 6x + 9)(7x³ - 12x² + 8x)

35x⁵ - 102x⁴ + 175x³ - 156x² + 72x

Multiplying Binomials

100

(x + 7)(x + 5)

x² + 12x + 35 

200

(x + 12)(3x + 2)

3x² + 38x + 24

300

(x - 5)²

x² - 10x + 25

400

(2x + 7)(-3x + 5)

-6x² -11x + 35

500

(-2x - 7)(-2x + 7)

4x² - 49