Writing Polynomials in standard form
classifying polynomials
simplifying polynomials
Geometric Applications
Factoring Polynomials
100

-2a+a2

a2-2a
100

2

constant monomial

100

(x-1)(x+2) Simplify

x2+x-2

100

a rectangle has a length of (x2-2x+4) and the width is (x). what is the area of the rectangle?

x3-2x2+4x

100

9x2-49y2

(3x-7y)(3x+7y)

200

-5a+a2-2

a2-5a-2

200

3x

linear monomial

200

3a2/3a

a

200

there is a square that has a length of (x2) and width (x2). What is the area of the square?

x4

200

64y4-16y6

16y4(2-y)(2+y)

300

-6a3-5-7a

-6a3-7a-5

300

2x+1

linear binomial

300
24a2/8a

3a

300

what is the area of a rectangle that has a length of (x2+2x+4) and a width of )(x2+3x+8)?

x4+5x3+18x2+28x+32

300

n3-5n2-50n

n(n-10)(n+5)

400

2-2a3-2a2

-2a3-2a2+2

400

-8x2+4x+2

Quadratic Trinomial

400
(2x2+3x+2)-(x2-4x-1)

x2+7x+3

400

what is the area of the square that has a length of (x3+2x2+x) and a width of (x3+2x2+x)

x6+4x5+6x4+4x3+x2

400

4m2-m-14

(4m+7)(m-2)

500

45ab-15a3+30a2

-15a3+30a2+45ab

500

12x4-2x3-5x2+7

Quartic Polynomial

500

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

-8x2y-4x-8y-8

500

what is the area of a rectangle that has a length of (x4+2x3+4x2+2x+5) and a width of (2x4+5x3+10x2+6x+2)?

2x8+9x7+28x6+50x5+74x4+73x3+70x2+34x+10

500

4x3+12x2-25x-75

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