# How many critical points can a quadratic polynomial function have?

##### 1 Answer

Jul 27, 2018

A quadratic polynomial function can have a single critical point.

#### Explanation:

A quadratic polynomial is a polynomial of second degree, in the form:

with

By definition the critical points for

so:

As this is a first degree equation, it has a single solution:

so a quadratic polynomial function can have a single critical point, which by the way is the vertex of the parabola of equation: