Well, if you think about where the function actually equals 0, it has to be at the x intercepts. Surely you can figure those out.

Then, we make note of the fact that a function can only ever change from positive to negative, or vice versa, AT the x-intercepts.

Therefore, the x intercepts break up the domain into a number of regions where the function could be positive or could be negative.

Test each of those regions by substituting a point from each of those regions into the function. See if you get positive or negative.

The solution to each inequality should then easily follow.