# How do you use the Intermediate Value Theorem to show that the polynomial function #f(x) = x^3 -3x^2 + 3# has one zero?

##### 1 Answer

Oct 19, 2015

See the explanation.

#### Explanation:

To show that the function has at least one zero, find a value of

Because polynomial functions are continuous everywhere,

For example,

We write a proof:

there is at least one

(In fact there are three such