Operations with Polynomials
Roots and Zeros
End Behavior
Factoring Techniques
Factoring Polynomials
100
(4x2-3x+8)+(3x2-9x+4)
What is 7x2-12x+12
100
How many roots are in the following polynomial equation.
What is 3.
100
What two terms determine the end behavior of the function and the range of the function?
What is degree and leading coefficient
100
The largest number that is a factor of all terms is called...
What is Greatest Common Factor.
100
Factor completely.
f(x)=5x2-7x+2
What is (5x-2)(x-1).
200
Subtract -4x2-x+10 from x2+10x.
What is 5x2+11x-10
200
Find the zeros of the function using graphing technology. Round values to the nearest thousandth (if necessary).
f(x)=1.9x2-12.3x+17.5
What is
x=2.111 and x=4.362.
200
State the end behavior of the polynomial:
What is
As x approaches infinity, f(x) approaches infinity, and as x approaches -infinity, f(x) approaches infinity.
200
This 
is known as.
Sum of Two Cubes
200
Factor completely.
f(x)=2x3-28x2+80x
What is f(x)=2x(x-10)(x-4).
300
Expand the expression to a polynomial in standard form.
(-3x+1)(-2x2+5x+5)
What is 6x3-17x2-10x+5.
300
Using the Rational Zero Theorem, list all possible rational zeros of the function:
f(x)=-4x4-x3-18x2-26x+5
What is
x=1, -1, 5, -5, 1/2, -1/2, 5/2, -5/2, 1/4, -1/4, 5/4, -5/4
300
State the end behavior of the polynomial: 
What is
As x approaches infinity, f(x) approaches -infinity, and as x approaches -infinity, f(x) approaches infinity.
300
This is known as when we need to factor with 4 or more terms.
What is factor by grouping?
300
Factor completely.
f(x)=x4-14x2+45
What is f(x)=(x+3)(x-3)(x2-5).
400
Express the result in the form: q(x) + r(x)/b(x).
(x4+8x3+16x2-x-18)/((x+3)
What is x3+5x2+x-4-6/(x+3).
400
Is x=1/3 a zero of the function,
f(x)=3x4+2x3-16x2-10x+5?
What is yes, since f(1/3)=0.
400
State the end behavior of the polynomial:
f(x)=-14x3-7x4+56x2+126x+63
What is
as x approaches -infinity, f(x) approaches -infinity, and as x approaches infinity, f(x) approaches -infinity.
400
What is the formula in factored form for a difference of cubes?
What is 
400
Factor.
f(x)=8x3+27
What is f(x)=(2x+3)(4x2-6x+9).
500
Given f(x)=3x3+kx-18, and the remainder when f(x) is divided by (x-1) is -11, then what is the value of k?
What is k=4.
500
Find all zeros of the function
f(x)=3x3-2x2-2x+3
using the rational zero theorem.
What is x=-1, x= (5+square root 11 i)/6, x= (5-square root 11 i)/6.
500
State the end behavior of the polynomial:
f(x)=165x3-1512x+1728-3x5+12x4-390x2
What is:
As x approaches infinity, f(x) approaches -infinity, and as x approaches -infinity, f(x) approaches infinity.
500
This is the factored form of a difference of two squares.
What is 
500
Factor:
64m6+1
What is (4m2+1)(16m4-4m2+1).