Classifying & Vocabulary
Adding
Polynomials
Subtracting Polynomials
Multiplying Polynomials
Dividing
Polynomials
100

A polynomial with exactly two terms.

binomial

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

6x2+12x divided by 3x

2x+4

200

Rewrite in standard form:

-2x+5x2-9+x3

x3+5x2-2x-9

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

15a3b+20a2b2 divided by 5ab

3a2+4ab

300

Classify the following:

5x2+4x-9

Quadratic Trinomial

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

18m4n2-6m3n divided by 3m2n

6m2n-2m

400

Classify the following: 

2x4+9x3-5x2+6

Quartic Polynomial

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

24x4y2+16x3y divided by 8x2y

3x3y+2x

500

Rewrite in standard form:

-4ab2+3a2b-2a+5a3+7+b

5a3+3a2b-4ab2-2a+b-7

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

-35p6q3r+10p4q2r2-5p3qr divided by 5p3qr

-7p3q2+2pqr-1

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