A polynomial is any curve that can be described by the set of numbers ${\displaystyle \{a_{0},a_{1},...,a_{n}\}}$ such that ${\displaystyle f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{1}x+a_{0}}$, or alternatively

${\displaystyle f(x)=\sum _{k=0}^{n}a_{k}x^{k}}$