# Polynomial Function

## Polynomial Function

Function f characterized by a relationship of the form
$$f\left ( x \right )=a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+…+a_{1}x+a_{0}$$ where $$a_{n}$$ is non-zero and the $$a_{i}$$ are real numbers or complex numbers.

The number n indicates the degree of the polynomial function.

### Example

The function f defined on the set of real numbers by the relationship $$f\left ( x \right ) = x^{3} – 7x^{2} + 5x + 12$$ is a third-degree polynomial function.

Its graph is the following :