Adding or Subtracting Polynomials
Multiply polynomials
Multiplying Binomials
grab bag
factor or solve
100
(3x+5) + (4x+1)
7x + 6
100

2x( x + 3 ) 

2x2 + 6x

100

(x+2)(x+3)

x2 + 5x + 6

100

A square has a side length of 2x+1. What is the Area of the square as a polynomial 

4x2 + 4x + 1

100

Factor.

x+2x +1

(x+1) (x+1)

200
(6x-7) + (4x+5)
10x-2
200

(-x3) ( x4 - x ) 

-x+ x4

200

(x-7)(x+2)

x2 -5x -14

200

A rectangle's width is 3x2-5 and its length is 8x3 Find the perimeter as a polynomial. 

16x3+6x-10


200

Factor.

6p3+18p2

6p2(p+3)

300
(5x-7) - (8x-2)
-3x - 5
300

(x+3)(x2+3x+10) 

x3+6x2+19x+30

300

(2x+4)(x-8)

2x2 -12x -32

300

A triangle has a height of 4x-2 and a base of x2. Express the area as a polynomial. 

2x2 - x2

300

Solve.

x2 - 4x +4 = 0

x=2

400

(5x-3) + (4x+7) + (2x-6)

11x-2

400

(x2-5)(2x3+4x2-5) 

2x5+4x4-10x3-25x2+25

400

(x2- 10)2

x4 - 20x2 + 100

400

A triangle has a base of 2x3-2x+10 and a height of 3x2 + 5. Express the area as a polynomial.

3x5+2x3+15x2-5x+25

400

Solve.

x+x = 56

x=-8, x=7

500
(6x-8) - (6x+8)
-16
500

(-x3+3x2)(2x4-5x3-11x) 

-2x7+11x6-15x5+11x4-33x3

500

(-x2 + 2x ) ( -x2 - 5 ) 

x4+5x2-2x3-10x

500

A cube has a side length of 2x2 - 4 Express the volume as a polynomial.

8x6 - 48x4 - 96x2 + 64

500

Solve.

x3 -18x = 7x2

x=0, x=9, x=-2

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