# How do you use the rational roots theorem to find all possible zeros of #3x^5-7x^2+x+6#?

##### 1 Answer

May 24, 2016

This quintic has no rational zeros.

#### Explanation:

By the rational root theorem, any rational zeros of

That means that the only possible rational zeros are:

#+-1/3# ,#+-2/3# ,#+-1# ,#+-2# ,#+-3# ,#+-6#

Evaluating

So this quintic has no rational zeros.

In fact it has one Real zero at

These zeros are not expressible in terms of