Question

Are all even-degree polynomial functions even? Are all odd-degree polynomial functions odd? Explain.

Answer 1

even if p(x) has even degree, it is not necessarily an even function. Likewise, if p(x) has odd degree, it is not necessarily an odd function. We also use the terms even and odd to describe roots of polynomials.

Explanation:

A polynomial is even if each term is an even function. A polynomial is odd if each term is an odd function. A polynomial is neither even nor odd if it is made up of both even and odd functions.