Solve 5x^3 – 6x^2 – 4x – 8 = 0

Answer 1

first try some factors of 8
after 2 attempt I found x = 2 works
so x-2 is a factor
by synthetic division ....
5x^3 – 6x^2 – 4x – 8
= (x-2)(5x^2 + 4x + 4)

now solve 5x^2 + 4x + 4 = 0
Use the formula, you will get two complex roots