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 - 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

(6x²)(5x)

30x³

200

(x²yz)(x²y⁴)

x⁴y⁵z

300

-7s(2r)(-4r⁸s²)

56s³r⁹

400

2x(x + 6) 

2x² + 12x 

500

(15p⁵qr⁷)(4p²qr)

60p⁷q²r⁸

Mixed Practice

100

(6ab⁸)(-2ab²)-4a²b¹⁰

-16a²b¹⁰

200

(5x²y)(-3x²)+(4x)(4x³y)

x⁴y

300

(5m⁹)(7m³n⁷)+(2m²n⁶)(m¹⁰n)

37m¹²n⁷

400

(8c⁹d⁵)(4c²d³)-(19c¹⁰d)(cd⁷)

13c¹¹d⁸

500

(8n 2 + n − 4)(6n 2 − 6n − 4)

48n⁴ − 42n³ − 62n² + 20n + 16

Mixed Review

100

How many terms are in a monomial?

One

200

What do you call monomials with the same variables and exponents? 

Like Terms 

300

What do you call an expression with 3 unlike terms?

Trinomial

400

How many terms are in a binomial?

2

500

How many terms are in a polynomial?

Four or more