## Calculus with Applications (10th Edition)

A polynomial function of degree $n$, where $n$ is a nonnegative integer, is defined by $\color{blue}{f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots+a_{1}x+a_{0}}$, where $a_{n}, a_{n-1}, \ldots, a_{1}$ and $a_{0}$ are real numbers, called coefficients, with $a_{n}\neq 0$. The number $a_{n}$ is called the leading coefficient. $.......................................$ A linear function is a function defined as $f(x)=ax+b,$ where $a\neq 0.\\\\$ This form is equivalent to $f(x)=a_{1}x+a_{0},$ thus, every linear function is a polynomial of degree 1.