Degree
Terms
End Behavior
Graphs
Even,Odd, Neither
Zeros, Multiplicity, Degree
100
Classify the polynomial by its degree:
3x^2 + x
quadratic
100
What is the leading coefficient?
9x3 - 5x + 7
9
100
What are degree and leading coefficient?
degree is odd, 3 and leading coefficient is positive
100
The point of the y - intercept?
(0,-1)
100
A function that is even will have reflectional symmetry about the ______________ .
y- axis
100
Find the zeros of:
(x-1)(x+4)(x-3)
x = 1, -4, 3
200
What is the degree of the polynomial?
3x^2 - 2x^ 4 + x
4
200
The number of possible roots for the equation
2x^ 8 -3x^ 7 +5x^ 2 + 4x + 1
8
200
What are the degree and leading coefficient?
degree = even, 2 and leading coefficient is negative (concave down)
200
The roots are...?
x = -2, 0, 2
200
Is the function even, odd, or neither?
y=x^3-3x
Odd
200
Find the zeros and multiplicity of:
(x-1)2(x+2)
Zero:1, Multiplicity:2
Zero:-2, Multiplicity:1
300
Write the polynomial in standard form
3x^2 - 7x^4 + 9 - x ^ 4
What is
-8x^4 + 3x^ 2 + 9
300
These are solutions to polynomials where the graph crosses the x-axis.
zeros
300
If the polynomial is odd and the leading coefficient is positive then this happens to the end behavior
As x -> -oo , f(x) -> -oo
As x -> +oo , f(x) -> +oo
300
Write an equation for the function that has roots of 3,4 ,-1 and and a leading coefficient of -2.
f(x) = -2(x-3)(x-4)(x+1)
300
Is the function even, odd, or neither?
y=2x+7
Neither
300
Find the zeros, multiplicity, and degree of:
(x-1)(x+4)3(x+2)
Zero: 1, Multiplicity: 1
Zero: -4, Multiplicty: 3
Zero: -2, Multiplicity: 1
Degree: 5
400
What is the degree of the graph?
3 (cubic function)
400
Based on the graph, the leading coefficient is...
positive
400
if a polynomial's end behavior is the same as
x -> -oo and +oo
then, the function has this type of degree...
even
400
As
x-> +oo , y -> ?
-oo
400
Is the function even, odd, or neither?
y=4x-2x^3+3
Neither
400
Find the zeros, multiplicity, and degree of:
(x+1)2(x2-4)
Zero: -1, Multiplicity: 2
Zero: -2, Multiplicity: 1
Zero: 2, Multiplicity: 1
Degree: 4
500
What is the name of a polynomial with a degree of 5?
quintic
500
Multiply
500
Describe the end behavior of f(x) = -x(x + 1)(x + 2)(x + 3)
As x -> +oo or -oo, f(x) -> -oo
500
The graph of f(x) is provided. Write an equation for f(x).
-(x-1)(x+1)(x-5)
500
An odd function crosses through the coordinate point (2,3). What is another coordinate point that the graph MUST pass through?
(-2,-3); for odd functions, the negative of the same x-value produces the NEGATIVE of the same y-value.
500
Finding the zeros, multiplicity, and degree of:
(x2-81)(x2+3x-10)(x-9)2
Zero: 9, Multiplicity: 3
Zero: -5 Multiplicity: 1
Zero: 2 Multiplicity: 1
Zero: -9 Multiplicity: 1
Degree: 6