I have to find the zeros of a polynomial function, and even though this topic was explained in class, I din't understand it very well and did not ask for help.

I would like to check my work and get suggestions if possible.

Problem: f(x) = x^4 - x^3 - x^2 -x -2

My solution:

f(x) = (x+1)(x-2)(x+1i)(x-1i)

Is this correct?