# How do you use the rational roots theorem to find all possible zeros of #x^3-3x-2#?

##### 1 Answer

Jun 2, 2016

#### Explanation:

By the rational root theorem, any rational zeros of

That means that the only possible rational zeros are:

#+-1# ,#+-2#

We find:

#f(-1) = -1+3-2 = 0#

So

#x^3-3x-2 = (x+1)(x^2-x-2)#

If

Then we find:

#x^2-x-2 = (x+1)(x-2)#

So