Classifying Polynomials
Multiplying/ Rational Root
Division/ Multiplicity
Multiplicity/ Factoring
Zeros/ Misc.
100
Classify the polynomial
-3x^2 +1
Linear Binomial
100
Using the Rational Root Theorem state the zeros for the function,
x^2+8x+10
positive/ negative 1,2,5,10
100
What is the multiplicity of
(x-4)^4
4
100
If the multiplicity is odd then the graph __________ at that zero.
crosses
100
What are the zeros of
(x+2)(x-4)(x+10)
-10, -2, 4
200
Classify the degree
-x^4-18x^2+31
4
200
Using the Rational Root Theorem state the zeros for the function,
x^3+2x-27
positive/ negative 1,3,9,27
200
If 4i and 5i are zeros of a function, what must also be a zero?
-4i and -5i
200
If the multiplicity is even then the graph __________ at that zero.
bounces
200
What are other names for zeros
Roots, Solutions, and x intercepts
300
Classify the leading coefficient, state positive or negative, state even or odd
5x^4+3x^2+1
5, positive, even
300
What are the middle terms of the product when multiplying
(w-7)(w^2+2w+1)
-5w^2-13w
300
Write a factored polynomial with the zeroes 4, -6, and 7 with a multiplicity of 3.
(x-4)(x+6)(x-7)^3
300
Determine the zeros of
x^3+x^2-2x
-2, 0, 1
300
How many positive and negative zeros could the function have?
3 positive zeroes and 1 negative zero
400
Describe the end behavior of
-2x^2+4x-7
as x approaches infinity, y approaches neg infinity.
as x approaches neg infinity, y approaches neg infinity.
400
What is the product of
(3m^2-4m+1)(2m^2+5m-9)
6m^4+7m^3-45m^2+41m-9
400
Solve using reverse box method
(42n^4-6n^3-101n^2+25)/(6n^2-6n-5)
7n^2+6n-5
400
What are the factors of
3x^3-6x^2
3x^2(x-2)
400
Solve the following inequality 
(-2.5,-1.414) and (1.414, infinity)
500
Classify the polynomial, state its leading coefficient, and state whether its even or odd
2x^5+3x^3+2x^2+1
Quintic polynomial, 2, odd
500
Which polynomial has a 3rd degree with roots at 3, 4i, and -4i
x^3-3x^2-16x-48
500
Solve using long division
(x^4-2x^3+3x^2-4x+6)/(x^2+2x-1)
x^2-4x+12+(-32x+18)/(x^2+2x-1)
500
What are the factors of
x^3+3x^2-2x-6
3(x^2-2)-x(x^2-2) or (x+3)(x^2-2)
500
Determine the zeros of
-x^4+4x^3-2x^2-4x+3
-1, 1, 3