the Rational Root Theorem can narrow the choices.
A little synthetic division yields
(x+2)(x+6)(x^2-5) = 0
unit 6 lesson 9 algebra 2 connexus
find the rational roots of x^4+8x^3+7x^2-40x-60=0
3 answers
-6,-2
The rational roots of the equation x^4 + 8x^3 + 7x^2 - 40x - 60 = 0 are -6 and -2.