# How do you use the rational root theorem to find the roots of #x^4-x^3-2x^2-4x-24#?

##### 1 Answer

Use rational root theorem to find possible rational zeros. Try the first few, then use synthetic division with the roots found to find there are no more Real ones.

#### Explanation:

Let

By the rational root theorem, any rational roots of

So the only possible rational roots are:

Let us try a few:

So

Use synthetic division:

So