# What are the possible rational roots of #6x^4+35x^3-x^2-7x-1=0# and then determine the rational roots?

##### 1 Answer

Jan 9, 2017

The possible rational roots are

The rational roots are

#### Explanation:

The possible rational roots are obtained by dividing each of the factors of the known term (-1) by each of the factors of the maximum degree term's coefficient (6).

Then they are:

To determine the rational roots, let's use the remainder rule:

Then

You also can use a spreadsheet to find zeros faster.

Then you would find only another rational root