Polynomial Facts
Name Polynomials
Michigan
Graphs of Polynomials
Zero's & Graphs
100
The highest exponent on an x in a polynomial is called the _________ of the polynomial. It also has the letter "n" in the general form.
What is the degree
100
Create a polynomial with a degree of 3, a leading coefficient of 2, and a constant of -6
2x3+???-6
100
Michigan produces 20 percent of the nation's output of this mineral.
Iron Ore
100
What are the "zeros" of a polynomial?
Where it crosses or touches the x-axis.
100
Which special points on graphs will help you to find its zeros?
The X-intercepts
200
The number in front of a variable is called the ________.
What is the coefficient?
200
A second degree polynomial is also called a ___?
What is a Quadratic (or parabola).
200
The Michigan nickname.
What is the Wolverine State?
200
Find the zeros:
(x + 4)(x - 6) = 0
x = -4 and x = 6
200
Sketch a graph of a polynomial that has two zeros.
a parabola whose vertex is below the x axis
300
The number with no variable attached is called the ________.
What is the constant?
300
Name the polynomial
10x3 - 2x
What is a cubic binomial?
300
The state bird.
Robin
300
State whether the degree of the function is even or odd, and state whether the leading coefficient is positive or negative.
odd and positive
300
Draw a polynomial graph that has no real zeros.
Teacher will determine.
400
Polynomials cannot have _________ or __________ exponents.
What is negative or fractional?
400
Name the polynomial
5x4 + 7x3 - 8x2
What is a 4th degree trinomial?
400
This bridge that connects Detroit, Michigan and Windsor, Ontario was the first to connect two countries.
What is the Ambassador Bridge?
400
State whether the degree of the function is even or odd, and state whether the leading coefficient is positive or negative.
even and negative
400
Find the zeros of the function: y = x(x + 1)(x - 7)You can tell that functions are inverses by their graphs if...
-1, 0, 7They are inverses if they reflect across y=x
500
Name the operations that can happen in a polynomial.
What are addition, subtraction, multiplication, and division except by a variable?
500
Name the polynomial
x + 45
Linear binomial
500
A dispute over this small strip of land with Ohio delayed Michigan's staehood.
What is the Toledo Strip?
500
Describe the end behavior.
Name the explicit formula of the sequence
10, 15, 20, 25
As x approaches positive infinity, f(x) approaches negative infinity.
As x approaches negative infinity, f(x) approaches positive infinity.
500
Write a polynomial function in standard form with the given zeros: 1, -1, -2
x3 + 2x2 - x - 2