Adding/Subtracting/Multiplying Polynomials

Addition of Polynomials

100

(4x² + 2x) + (x² + 6x)

5x² +8x

200

(-3y² + y) + (4y² + 6y)

y² +7y

300

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² - 11r + 7

500

(2a + 3ab + 4c²) + (4b + 5c²) + (-2b + 6ab)

2a + 9ab + 2b + 9c² 

Subtraction of Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Multiply Monomials

100

2x(x + 6)

2x² + 12x

200

5x (x² + 4x - 3)

5x³ + 20x² - 15x

300

2x³y⁶ (9x⁴y⁶ - 2xy⁸)

2x³y⁶ (9x⁴y⁶ - 2xy⁸)18x¹²y¹² - 4x⁴y¹⁴

400

2a²b²c⁴ (3a²bc + 4a - 5b²c) - 3ac⁴ (-6a³b³c) 

24a⁴b³c⁵ _ 8a³b²c⁴ - 10a²b⁴c⁵

500

(x - 2)²

x² - 4x + 4 

Classifying Polynomials

100

2x - 3

Linear Binomial

200

a² + 1a − 6

Quadratic Trinomial

300

5

Constant Monomial

400

25b³ − 10b² − 34b + 12

Cubic Polynomial

500

3xy (3x² + 2x - 6)

Cubic Trinomial

Mixed Review

100

How would you classify something with 17 terms?

Polynomial

200

What are the last names of the 4 assistant principals at the school? 

Stattenfield, Delgado, Lane, DeSimone

300

What is Ms. Thunberg's favorite color?

Green 

400

(2x + 1) (9x - 4)

18x² +14x - 4

500

Classify: (2x - 4) (x - 3)

Quadratic Trinomial