Let n be a nonnegative integer and let a_{n},a_{n-1},...,a_{2},a_{1},a_{0} be real numbers with a_{n}0. The function given by :
f(x)= a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{2}x^{2}+a_{1}x+a_{0}
is called a polynomial function of x with degree n.
Polynomial functions are classified by degree: