Classifying by Degree
What is the name of a polynomial with a degree of 0?
Constant
How many terms does a "monomial" have?
Write 3 + 12x4 in standard form.
12x4+3
Describe the "arms" of a graph for an Even degree with a Positive leading coefficient.
Both ends go up.
A polynomial with a degree of 3 is called what?
cubic
What is the specific name for a polynomial with exactly 3 terms?
trinomial
In the expression -4x3+13x2+5, what is the leading coefficient?
-4
If a graph goes down on both the left and right sides, what is the sign of its leading coefficient?
Negative
If a polynomial has a degree of 1, what is its name?
linear
How many terms are in the polynomial 7x3 - 10x3 + x3 after it is simplified?
1 term (they are like terms that simplify to-2x3)
Rewrite 9x-4x3+2x2+6 in standard form.
-4x3+2x2+9x+6
For an odd-degree polynomial with a positive leading coefficient, what is the end behavior as x approaches infinity?
y approaches infinity (it goes up)
What degree does a "Quintic" polynomial have?
How do you identify a "term" in a polynomial? (What sign separates them?)
Terms are separated by addition or subtraction signs.
What is the leading term of the polynomial f(x) = 4x7 + 5x2 + 2?
4x7
Describe the end behavior of f(x) = -2x5 - x4 + 6x as x approaches infinity.
y approaches infinity (it goes up on the left because it is an odd degree with a negative leading coefficient)