Polynomials

Vocabulary

100

How many terms are in a binomial? 

Two

200

Mono-, bi-, or trinomial? 

4x² - 3x + 5

Trinomial

300

What is the degree?

9x + 43

1

400

Write a monomial with a degree of 2

x²

500

Like terms need to have these two things: 

1. Same variables

2. Same exponents

Adding

100

3x² + 6x²

9x²

200

(2x + 6) + (4x - 3)

6x + 3

300

(x² + 8) + ( 5x² - 2x) 

6x² - 2x + 8

400

(4x + 3) + (2x² - 3x + 5) 

2x² + x + 8

500

(3x² - 5x + 6) + (-2x² - 3x +2) 

x² - 8x + 8

Subtracting

100

2x - 7x 

-5x 

200

(4x² - 5) - (2x² - 3) 

2x² - 2

300

(6x² + 3x) - (-2x² - 4)

8x² + 3x + 4

400

(3x² - 4x +3) - (2x² +3) 

x² - 4x

500

(-9x² + 6x - 2) - (6x² -2x + 1)

-15x² + 8x - 3

Multiplying

100

2(6x + 2) 

12x + 4

200

3x(5x - 2)

15x² - 6x

300

-4(x² - 3x + 2)

-4x² + 12x - 8

400

-5x(5x - 3)

-25x² + 15x

500

8x(2x + 3y + 1)

16x² + 24xy + 8x

Dividing

100

(6x) / 2

3x 

200

(9x - 6) / 3

3x - 2

300

(10x² - 2x) / 2x

5x - 1

400

(6x² + 7x) / -x

-6x - 7

500

(9yx² - 12xy + 18y²) / 3y

3x² - 4x + 6y