x^3 + 4x^2 - 3x - 2 = 0
by quick tries of x = ±1, ± 2,
it shows on the first try that x = 1 is a solution
so x-1 must be a factor
do either long algebraic or synthetic division to show
x^3 + 4x^2 - 3x - 2
= (x-1)(x^2 + 5x + 2)
use the quadratic formula to find the other two roots.