Polynomials

Vocabulary

100

What are the variables in this expression?

5x + 83y

x and y

200

What are the constants in this expression?

3x + 5 = 8

5 and 8

300

What are the different degrees of each term in this expression?

6x² - 9y + 14a³b²

6x² = 2nd degree

-9y = 1st degree

14a³b² = 5th degree

400

What are the coefficients in this expression?

a - 2b + 4c⁶

1, -2, and 4

500

Tell me the definition of a term.

What are the terms in the following expression?

5y + 4x - abc + 9

Parts of an expression, separated by + and -

In the expression 5y + 4x - abc + 9

There are 4 terms.

1 & 2 Step Equations

100

x - 7 = 19

x = 26

200

6 - x = -2

x = 8

300

2x - 15 = 5

x = 10

400

-60 / x + 12 = -4

Use what Ms. Gation wrote on the board.

x = 3

500

7 - 6y = -47

y = 9

Rearranging Polynomials

100

7a + 4b² + 9

4b² + 7a + 9

200

10x - 2xy + 14

-2xy + 10x + 14

300

5ab³c - 12b⁶ - 8ab

-12b⁶ - 5ab³c - 8ab

400

-xy + 7abc + 9x⁸ -14 + 30a⁴b³

9x⁸ + 30a⁴b³ + 7abc - xy - 14

500

1. Rearrange the expression.

2. How many terms are there?

3. What degree is this polynomial?

8k - 14j³f + 6z⁵

1. 6z⁵ - 14j³f + 8k

2. 3

3. 5th degree

Simplifying Polynomials

100

Are the following terms like terms? Explain. 

8x and 5x²

No, they do not have the same degree.

200

17 - 3x² + 2x²

-x² +17

300

a² - 2a + 5a³ + 1 - 10a

5a³ + a² - 12a + 1

400

8x − 7x³ + 14 + 7x − x² − 6 − x³ + 4x²

-8x³ + 3x² + 15x + 8  

500

20 + 12x² − 5 − 10x + 4x² +8x³ + x − 7x³

x³ + 16x² − 9x + 15

Naming Polynomials

100

4x³ + 4x² + x

Trinomial

200

7x⁶ − 10x³ + 9x² + 5x − 8

Polynomial

300

12b³

Monomial

400

x − 1

Binomial

500

8y⁴ - 15 + x⁶

Trinomial