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## Example Questions

### Example Question #1 : Solving Polynomial And Rational Inequalities

What is the solution to the following inequality?

**Possible Answers:**

**Correct answer:**

Explanation:

First, we must solve for the roots of the cubic polynomial equation.

We obtain that the roots are .

Now there are four regions created by these numbers:

- . In this region, the values of the polynomial are negative (i.e.plug in and you obtain

- . In this region, the values of the polynomial are positive (when , polynomial evaluates to )

- . In this region the polynomial switches again to negative.

- . In this region the values of the polynomial are positive

Hence the two regions we want are and .

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