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Vocabulary
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Multiplicity
100
How many terms are in a trinomial?
Three
100
(x+5)+(3x+9)
4x + 14
100
(7x+4)-(5x+8)
2x-4
100
(3x+1)(2x+3)
6x2+12x+3
100

How many zeros does this function have?

(x-3)(x+2)2(x-5)

4

200

What is the DEGREE of 2x4+9x3-5x2+6?

Number and name.

4

200
(3x2+4x)+(2x2-3x)
5x2+x
200
(6x2+4)-(3x2+5)
3x2-1
200
(2x-5)(3x+2)
6x2-4x-10
200

How many DISTINCT zeros does this function have?

(x-3)(x+2)2(x-5)

3

300

How many terms are in this polynomial? 4y5+6xy-3x2

Three

300
(-4x2+2x-3)+(5x2-4x+8)
x2-2x+5
300
(2x-4)-2(4x-2)
-6x
300
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4
300

What is the multiplicity of the zero x=1?

(x+1)3(x-1)5

5

400

Write an example of a polynomial with 4 terms and degree of 3.

Answers will vary

400
(8x2-4x+3)+(7x2+2x-11)
15x2-2x-8
400
(6x2-5x+8)-(4x2-7x+9)
2x2+2x-1
400
(2x2-4x+6)(x2+5x-2)
2x4+6x3-18x2+38x-12
400

Write the equation in factored form for a polynomial with roots:

x=2 (multiplicity:4)

x=-1 (multiplicity:2)

 x=3 (multiplicity:1)

(x-2)4(x+1)2(x-3)

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

Write the equation in factored form for a polynomial with roots: 0,0,0,0

x4