# How do you use the rational root theorem to find the roots of #x^3 – x^2 – x – 3 = 0#?

##### 1 Answer

The rational root theorem only helps us find that

The only Real root is:

#### Explanation:

Let

By the rational root theorem, any rational roots of

That means that the only possible rational roots of

Let's try them:

So

Using a simple Tschirnhaus transformation (