## 2.1 Polynomial Function Introduction and Algebraic Operations

#### Polynomial Functions Basics

- A polynomial function is a function that can be written in the form

y=a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots+a_{1} x+a_{0}

where n \in N \cup\{0\} (as in non-negative whole numbers) and a_{0},\ a_{1},\ \ldots,\ a_{n} \in R with a_{n} \neq 0.

- The number 0 is called the zero polynomial.

- The leading term, a_nx^n, of a polynomial is the term of highest index among those terms with a non-zero coefficient.

- The degree of a polynomial is the index of the leading term, as in, n.