Vocabulary
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Classify
100

What is a degree?

The highest exponent in a polynomial.

100
(x+5)+(3x+9)
4x + 14
100
(7x+4)-(5x+8)
2x-4
100
(3x+1)(2x+3)
6x2+12x+3
100

Simplify and Classify: 

(3x2)(-2x3)

-6x5 

Quintic, Monomial

200

What does it mean for a polynomial to be in standard form?

Arranging terms in descending order of exponents. 

200
(3x2+4x)+(2x2-3x)
5x2+x
200

(6x2+4)-(3x+5)

6x2-3x-1

200
(2x-5)(3x+2)
6x2-4x-10
200

Simplify and Classify: 

(x3)(x-7)

x4-7x3

Quartic, Binomial

300

Define a polynomial.

An expression consisting of variables, exponents and values.

300

(-4x2+2x-3)+(5x3-4x2+8)

5x3-8x2+2x+5

300
(2x-4)-2(4x-2)
-6x
300
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4
300

Simplify and Classify: 

-2(x2-3)

-2x2+6

Quadratic, Binomial

400

Write an example of a trinomial that is cubic. 

Answers will vary!

400

(8x2-4x+3)+(7x2+2x-11)

15x2-2x-8

400
(6x2-5x+8)-(4x2-7x+9)
2x2+2x-1
400

(2x2y)(x2y-4xy-2y)

2x4y2-8x3y2-4x2y2

400

Simplify and Classify: 

2(3x-1)-(6x+3)

-5

Constant, Monomial

500
Like terms need to have...(two things!!)
1. Same variables 2. Same exponents
500
(5x3+4x2-2x+2)+2(2x3-2x2+x+5)
9x3+12
500
(6x3+4x2-4x+5)-2(2x3-3x2+5x-5)
2x3+10x2-14x+15
500
Ms. Waters wants to know how many desks can fit in her classroom next year. The length of her classroom is x+5 ft and the width of her classroom is x-4 ft. What is the area of her classroom? Area = lw
x2+x-20 square ft
500

Simplify and Classify: 

(3x-4)(2x2+4x)

6x3+4x2-16x

Cubic, Trinomial

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