What are the possible rational roots of #6x^4+35x^3-x^2-7x-1=0# and then determine the rational roots?
The possible rational roots are
The rational roots are
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:
You also can use a spreadsheet to find zeros faster.
Then you would find only another rational root