Intro to Polynomials

Combining Like Terms

100

3x+2x

5x

200

8+4x-2

4x+6

300

x²+9x+4x²+4x

5x²+13x

400

2x+5y-3+14x+2y

16x+7y-3

500

3x²+2x+8+2x²+15y-4x

5x²+15y-2x+8

Distributive Property

100

2(2+x)

2x+4

200

3(2x+5)

6x+15

300

3x(2x-6)

6x²-18x

400

2x(4x+3)

8x²+6x

500

-3x(4x+3)

-12x²-9x

Vocabulary

100

What is a variable?

Any letter in a math problem. 

200

What is the number with the variable called?

Coefficient

300

What is the number without the variable called?

Constant

400

What is the exponent in a polynomial called?

The degree

500

What are groups of numbers, variables, or a combination of numbers and variables in a polynomial called?

Terms

Parts of a Polynomial

100

Identify the Constant, Coefficient, and Variable in:

2x+3

Constant: 3

Coefficient: 2

Variable: x

200

Identify the Constant, Coefficient(s), and Variable in:

3x²+2x+6

Constant: 6

Variable: x

Coefficient(s): 3 and 2

300

What is the coefficient of the 3rd degree term in this polynomial?

5x⁴-2x³+2x

-2

400

What is the coefficient of the 2nd degree term in the polynomial:

3x⁸+2x⁵-15x³+7x²+15

7

500

Identify the Constant, Coefficient(s), and Variable(s) in:

4x²+x+y-18

Constant: -18

Variable(s): x and y

Coefficient(s): 4 and 1 and -18

Miscellaneous

100

What degree is this monomial?

4x⁶

6th degree

200

What is the degree of this monomial?

10x

1

300

What is the coefficient of the 3rd degree term in this polynomial?

5x⁴-2x³+2x

-2

400

What are the terms in the polynomial:

3x²-2x+17

3x²

-2x

17

500

Rearrange this polynomial so its terms are in order from highest to lowest:

14x+2x³-15-4x⁴+x²-20

-4x⁴+2x³+x²+14x-20