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

(5r³ - 6r² +3r) + (r² -2r - 3)

5r³ - 5r² + r - 3

Subtraction of Polynomials

100

(y² - 10y) - (2y² + 3y)

-y² -13y

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

(6x²)(5x)

30x³

200

4x(x³)

4x⁴

300

6x³(2x²)

12x⁵

400

2x²(x + 6) 

2x³ + 12x² 

500

(x²yz)(x²y⁴)

x⁴y⁵z

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(a + 3)(a − 2)

a² + 1a − 6

300

(4m + 2)(4m + 5)

16m² + 28m + 10

400

(5b − 6)(5b² + 4b − 2)

25b³ − 10b² − 34b + 12

500

(2n² + 4n - 6)(5n² - 3n)

10n⁴ + 14n³ - 42n² + 18n

Mixed Review

100

What is the degree of a polynomial?

The largest exponent on the variable

200

How many terms are in a binomial?

Two

300

How many terms are in a polynomial? 

Many aka four or more

400

Simplify the following: 

2x + 5 = 25

10

500

Which property allows you to simplify the following:

2(x² + 4x -7)

Distributive Property