Polynomials Review

Naming Polynomials

100

Name for 1 degree polynomial.

Linear

200

Name for 1 term. 

monomial

300

How many degrees and terms does x have? 

Degree: 1 

Term: Monomial

400

How many degrees and terms does 4x²y³and its name?

degree: 5 

Term: 1

Name: Quintic Monomial 

500

How many degrees, terms, and name of 5x³+2x-5. 

Degree: 3 

Terms: 3 

Cubic Trinomial 

Adding/Subtracting Polynomials

100

(2x²+1)+1

2x²+2

200

(y⁴-3y+7) + (2y³+2y-2y⁴-11)

-y⁴+2y³-y-4

300

(4x³-3x²+6x-4) - (-2x³+x²-2)

6x³-4x²+6x-2

400

Solve the following: 

(-4x²+9x-7) - (5x²-6x-2) 

-9x²+15x-5

500

Solve the following: 

(-5xy³-4x³+5y) + (2x³y+12x³-y) 

2x³y-5xy³+8x³+4y

Multiplying Monomials

100

Solve the following: 

6y(4y²-9y-7)

24y³-54y²-42y

200

Solve the following: 

5w(-3w²+2w-4)-3w(2w+1)

-15w³+4w²-23w

300

2p(-4p²+5p) - 5(2p²+20)

-8p³-100

400

b(12+b)-7=2b+b(-4+b)

b=-1/2

500

2a(5a-2)+3a(2a+6)+8=a(4a+1)+2a(6a-4)+50

a=2

Multiplying Polynomials

100

Solve the following: 

(x+6)(x-5)

x²+x-30

200

Solve the following by FOIL method

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

12x²+10x-12

300

Solve the following by the FOIL method: 

(2x-7)(3x+4)

6x²-13x-28

400

Solve the following: 

(x²+5x-9)(3x²-6x+2)

3x⁴+9x³-57x²+66x-18

500

Solve the following: 

(2x³-5x+4)(3x²-2x-7)

6x⁵-4x⁴-29x³+22x²+27x-28

Whiteboard Problems

100

Solve the following: 

(2n+2)(6n+1)

12n²+14n+2

200

Solve the following: 

(7x-6)(5x+6)

35x²+12x-36

300

Solve the following: 

(3n+2)(3n-2) 

9n²-4

400

Solve the following: 

(x+5)²

x²+10x+25

500

Solve the following: 

(6n²-6n-5)(7n²+6n-5)

42n⁴-6n³-101n²+25