Addition/Subtraction
Multiplication
Division
Factor Sum/Difference of Cubes
Factor by Grouping
100
Simplify
2x^2+4x^2
6x^2
100
Simplify
4x^2*3x
12x^3
100
Simplify
(12x^2)/(2x)
6x
100
What is 216 in terms of a cube?
(8=2^3)
6^3
100
What is the biggest number that can divide both terms?
4x+16
4
200
What is the process called where we multiply a negative across an entire polynomial?
Distribution
200
What method do we use to multiply two binomials?
F.O.I.L. (First Inner Outer Last)
200
What do we call our process of "fake" division?
Synthetic Division
200
What is a factor pair?
A pair of numbers that multiply to a larger number.
200
What is the process called where we find the biggest factor that divides all of the terms in a polynomial?
Greatest Common Factor
300
What is the error made in the follow solution?
(6x^2+10x+5)-(x^2+4x+9)
6x^2+10x+5-x^2+4x+9
5x^2+14x+14
The negative was not distributed.
300
What is the error made in the following solution?
(2x-4)(x+6)
2x+12x-4x-24
10x-24
2x*x≠ 2x
2x*x=2x^2
300
What is the error made in the following solution?
The sign was not switched from
(x+1)
300
What is a factor?
A number that divides another number.
OR
A number that multiplies to get a larger number.
300
What is the error made in the following solution?
Factor Completely
x^3-3x^2-9x+27
(x^3-3x^2)/x^2+(-9x+27)/-9
(x^2)(x-3)+(-9)(x-3)
(x-3)(x^2-9)
The polynomial was not completely factored. We can still use Difference of Two Squares.
(x^2-9)=(x+3)(x-3)
(x-3)(x+3)(x-3)
400
(x^2+7x+5)+(8x^2-2x+11)
9x^2+5x+16
400
Multiply the polynomials
(3x-6)(x^2+4)
3x^3-6x^2+12x-24
400
Based on the work below, is (x-2) a factor of 2x^4-3x^3-10x^2+7x+10 ? 
No,
(x-2)
is not a factor
400
What is the error made in the following solution?
8x^3-y^3
a=2 b=y
(2-y)((2)^2+(2)(y)+(y)^2)
(2-y)(4-2y-y^2)
The base 'a' should have equaled 2x, not only 2.
400
Factor the polynomial completely
3x^3+2x^2-12x+8
(3x+2)(x+2)(x-2)
500
(3x^2-4x+2)-(8x^2+5x-2)
-5x^2-9x+4
500
Multiply the polynomials
(x^2+2x-4)(2x^2+7x+4)
2x^4+11x^3+10x^2-20x-16
500
Is (x+2) a factor of 2x^4+7x^3+4x^2+8x+24?
Yes, (x+2) is a factor.
500
Factor the polynomial
k^3+27m^3
(k+3m)(k^2-3km+9m^2)
500
Factor the polynomial completely
4x^3+8x^2-9x-18
(x+2)(2x+3)(2x-3)