Show:
Simplifying by Adding
Simplifying by Subtracting
Simplifying by Multiplying
Factoring using GCF
Write in Standard Form
Polynomial Division
100
( 2x3 - 5x2 + x ) + ( 2x2 + x3 - 1)
3x3 - 3x2 + x - 1
100
( 3x2 + 5) - ( x2 + 2)
2x2 + 3
100
2x3 ( x3 + 3x2 - 2x + 5)
2x6 + 6x5 - 4x4 + 10x3
100

Factor out the Greatest Common Monomial Factor:


42m + 12n

6(7m + 2n)

100

Write this polynomial in Standard Form


-2x2 + 8x - 5x4

-5x4 - 2x2 + 8x

100

Divide the polynomial by long division.

(3x2 + 7x - 20) / (x+4)

3x - 5

200
( 3x2 + x - 6 ) + ( x2 + 4x + 10)
4x2 + 5x + 4
200
( x2 - 3x + 4) - ( -x2 + 5x + 1)
2x2 - 8x + 3
200
( x - 4) ( 3x + 2)
3x2 - 10x - 8
200
Factor out the Greatest Common Monomial factor:

18x + 24x2
6x(3 + 4x)
200
What is the degree of this polynomial

-2x2 + 8x - 5x4
4
200

(2x4 - 12x2 - 64x)/(2x)

x3 - 6x - 32

300
( 6 x + 4) + ( x + 5)
7x + 9
300
( 4x2 + 5 ) - ( -2x2 + 2x - 4)
6x2 - 2x + 9
300
(x - 2) (3x + 4)
3x2 - 2x - 8
300
Factor using the Greatest common monomial factor:

24x3 + 4x4
4x3 (x + 6)
300
What is the leading coefficient of this polynomial

-2x2 + 8x + 5x4
5
300

(2x3 - 3x2 - 18x - 8) /(x-4)

2x2 + 5x + 2

400
( 4x2 - 5) + ( 3x2 -2 )
7x2 + -7
400
( 4x2 - 3x + 5) - ( 3x2 - x - 8)
x2 - 2x + 13
400
(x+3) (x+2)
x2 + 5x + 6
400
Factor using the greatest common monomial factor:

2x2 + 6xy
2x( x + 3y)
400
Give an example of a trinomial
-5x4 - 2x2 + 8x
400

Use Long Division to solve the following equation.  There will be a remainder:

(x3 + 5x2 - 3x - 1) / (x-1)

x2 + 6x + 3, R: 2/(x-1)

500
( 10x2 + 4x - 5 ) + ( -3x2 +-2x -1)
7x2 + 2x - 6
500
( 3x + 4) - ( 2x2 - 6x + 5)
-2x2 + 9x - 1
500

( 2x2 + 5x - 1) (4x - 3)

You may wish to use the box method for multiplying polynomials.

8x3 + 14x2 -19x +3

500
Factor using the greatest common monomial factor:

2z3y - 8zy3
2zy(z2 - 4)
500
How many terms does this polynomial have?

-5x4 + 9x3- 2x2 + 8x - 7
5
500

Use Long Division to solve the following equation.  Again, there is a remainder:

(2x2 + x-7) / (x-5)

2x+11, R: 48/(x-5)