x3 - 4x2 - 11x - 6 = 0

Question

Find all solutions to the equation..

Answer 1

x³-4x²-11x-6=0

possible solutions are 1, -1, 2, -2, 3, and -3

-1 is a solution by trial and error or by synthetic division

(x³-4x²-11x-6)/(x+1)=x²-5x-6

x²-5x-6=(x+1)(x-6)

(x+1)(x+1)(x-6)=0

x=-1 (multiple root), and x=6