# How do you solve the polynomial inequality and state the answer in interval notation given #(x^3+2x^2)/2<x+2#?

##### 1 Answer

Feb 16, 2017

#### Answer:

#### Explanation:

Multiply both sides by

Factor by extracting a common factor twice.

If you rewrite as an equation, you get zeroes of

Now, select test points.

**Test point 1: x = -3 **

This is absolutely true.

Repeat this process in the following intervals:

Hopefully this helps!