Dividing Polynomials
Factoring Polynomials
Remainder and Factor Theorems
Roots
100
(12x^4y^5+8x^3y^7)/(4xy^5)
3x^3+2x^2y^2
100
Factor Completely.
x^2-5x+6
(x-2)(x-3)
100
Find
f(-2) if f(x)=x^2-3
1
100
How many real roots does the graph have? 
3
200
(9x^6y^2)(3x^4y)^-1
3x^2y
200
x^3+10x^2+16x
x(x+8)(x+2)
200
Find
2f(x) if f(x)=2x^2+x-1
4x^2+2x-2
200
What is the lowest possible number of imaginary roots given the graph of a polynomial function 
2
300
(6y^3+13y^2-10y-24)/(y+2)
6y^2+y-12
300
27x^3-64
(3x-4)(9x^2+12x+16)
300
Use synthetic substitution to find
f(-2) if f(x)=x^3+4x^2-3x+2
16
300
Determine the possible number of negative roots of
f(x)=-2x^6+4x^4+x^2-3x-3
2 or 0
400
(a^4+5a^3+2a^2-6a+4)(a+2)^-1
a^3+3a^2-4a+2
400
6ay+4by-2cy+3az+2bz-cz
(2y+z)(3a+2b-c)
400
Determine whether
x-5
is a factor of
x^3+2x^2-23x-60
yes
400
Find all the zeros of the function
f(x)=x^3-x^2+9x-9
1, 3i, -3i
500
(4a^6-5a^4+3a^2-a)/(2a+1)
2a^5-a^4-2a^3+a^2+a-1+1/(2a+1)
500
r^7+64r
r(r^2+4)(r^4-4r^2+16)
500
Give a polynomial and one of its factors, find the remaining factors.
f(x)=3x^3+20x^2+23x-10; x+5
x+2, 3x-1
500
Write a polynomial function of least degree with roots at 0, -3 and 1
f(x)=x^3+2x^2-3x