# How do I use the intermediate value theorem to determine whether a polynomial function has a solution over a given interval?

##### 1 Answer

May 16, 2015

To answer this question, we need to know what the intermediate value theorem says.

The theorem basically sates that:

For a given continuous function

It's application to determining whether there is a solution in an interval is to test it's upper and lower bound.

Let's say that our

From the theorem (since all polynomials are continuous), we know that there is a

Hope it helps.