Simplifying by Adding
Simplifying by Subtracting
PEMDAS/Properties
Exponent Rules
Distributive Property
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
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
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
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
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 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
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