5.3 Polynomial Functions
Polynomial
Example
Degree
Leading Coefficient
Ex. 1 State the degree and leading coefficient of each polynomial. If it is not a polynomial, say why not.
a) 5𝑥 6 − 3𝑥 4 + 12𝑥 3 − 14
b) 8𝑥 4 − 2𝑥 3 − 𝑥 6 + 3
So far this year we’ve talked a lot about ______________________________ and
____________________________.
Examples:
Now, we add ______________________________ to that list.
Examples:
Ex. 2 Find the stated function value.
a) if 𝑓(𝑥) = 𝑥 3 + 2𝑥 2 + 3𝑥 + 4, then f(2) = _______
b) if 𝑓(𝑥) = 𝑥 3 − 2𝑥 2 + 5𝑥 − 10, then f(-1) = _______
c) if 𝑓(𝑥) = −𝑥 3 + 4𝑥 2 − 2𝑥 + 6, then f(1) = _______