What is a polynomial function?

A polynomial function is a function of the form:

    equation

equation, equation, …, equation are the coefficients. Of course the last equation above can be omitted because it is equal to one. We left it there to emphasise the regular pattern of the equation. equation is an integer and denotes the degree of the polynomial.

Example of a polynomial function

The following is an example of a polynomial of third degree (equation).

    equation

This function’s plot looks like this:

polyfunc