Simplifying by Adding
Simplifying by Subtracting
Simplifying by Multiplying
Factoring
Other
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.


m2 + 8m + 12 

(m + 2)(m + 6)

100
Write this polynomial in Standard Form

-2x2 + 8x - 5x4
-5x4 - 2x2 + 8x
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.


x2 - 32x + 60

(x - 30)(x - 2)

200

Name this polynomial by its degree and number of terms.  


2x2 + 6 - 5x

Quadratic Trinomial

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. 


2x2 + 8x + 6

2(x + 3)(x + 1)

300

Name this polynomial by its degree and number of terms. 


-2x2 + 8x + 5x4

4th Degree Trinomial

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.


3x2 + 11x + 6

(3x + 2)(x + 3)

400

Determine the Vertex of the following parabola.  


y = 2x2 + 8x - 7

(-2, -15)

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)
8x3 + 14x2 -19x +3
500

Factor.


8x2 + 14x - 15

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

500

What numbers should we use in the x column of our t-table to graph the following function?  


y = 3x

-3, -2, -1, 0, 1, 2, 3

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