Polynomial Operations

Vocabulary

100

Terms with the same variable raised to the same power.

Like Terms

200

The coefficient of the first term of a polynomial written in standard form.

Leading Coefficient

300

The sum of the exponents of the variables used in a monomial.

Degree of a Monomial

400

A monomial or a sum of monomials.

Polynomial

500

A constant, a variable, or a product of a constant and variables.

Term

Adding Polynomials

100

Simplify. Write your final answer in Standard Form.

(2x² + 3x + 7) + (5x² + 4x + 2)

7x² + 7x + 9

200

Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.

(x² - 6x + 10) + (-x² + 4x - 8)

-2x + 2

D: 1

LC: -2

300

Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.

(8x + 4x² - 1) + (-5x² - 4x - 1)

-x² + 4x - 2

D: 2

LC: -1

400

Adding Polynomials 400 - See Google Slides for Image

16x - 7

500

Adding Polynomials 500 - See Google Slides for Image

-5t²s + 3ts² + 9ts

Subtracting Polynomials

100

Simplify. Write your final answer in Standard Form.

(4x² + 5x + 8) - (2x² + 4x + 3)

2x² + x + 5

200

Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.

(3x² + 2x + 8) - (4x² + x - 8)

-x² + x +16

D: 2

LC: -1

300

Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.

(2 - 3x + 4x²) - (9x + x² - 2)

3x² - 12x + 4

D: 2

LC: 3

400

Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.

(2b² – 6) + (3b + 6) – (b² + 4b – 7)

b² - b + 7

D: 2

LC: 1

500

Simplify. Write your final answer in Standard Form. Then, identify the degree and leading coefficient.

(5g² + 4) - (3g - 12g² - 2) + (5g³ + g² - g)

5g³ + 18g² - 4g + 6

D: 3

LC: 5

Multiplying Polynomials

100

Find the product. Write your final answer in Standard Form.

5x²(4x² - 3x)

20x⁴ - 15x³

200

Find the product. Write your final answer in Standard Form.

 (x + 3)(6x - 4)

6x² + 14x - 12

300

Find the product. Write your final answer in Standard Form.

(2x - 6)²

4x² - 24x + 36

400

Multiplying Polynomials 400- See Google Slides for Image

25x² - 20x units²

500

Multiplying Polynomials 500 - See Google Slides for Image

9x² + 9x - 4 units²

Representations

100

What are the three methods for multiplying polynomials?

Distribution/Distributive Property, Area Model, and Algebra Tiles

200

Which method for multiplying polynomials requires you to draw a rectangle and terms on the outside?

Area Model

300

TRUE OR FALSE:

Depending on the method used to multiply polynomials, you could get a different answer.

FALSE - No matter which method/representation you use, you will get the same answer.

400

Representations 400 - See Google Slides

A, C, D

500

Create a problem with polynomial multiplication. 

Show TWO ways to solve the problem (distribution, area model, algebra tiles).

Mrs. Loganbill will check each board individually.