# How to factor cubic trinomials? x^3-7x-6

##### 2 Answers

#### Explanation:

You could solve this by plotting the equation and inspecting where the roots are:

graph{x^3-7x-6 [-5, 5, -15, 5]}

We can see there appear to be roots in the areas of

Use the rational roots theorem to find possible roots, try each to find roots

#### Explanation:

Find roots of

Any rational root of a polynomial equation in standard form is of the form

In our case

So the only possible rational roots are:

Let

So

Divide

Actually you can deduce the

So the complete factorisation is: