Answer
x = 1, -1, -2
Work Step by Step
x$^{4}$ + x$^{3}$ - 3x$^{2}$ - x + 2 = 0
First, factor:
(x+1)(x-1)$^{2}$(x+2)
Use the zero-factor rule to solve for each factored algebraic phrase:
x + 1 = 0, x = -1
x - 1 = 0, x = 1
x + 2 = 0, x = -2