Hallooo

Ok this problem has been giving me troubles on my Take Home Test(we are allowed to use all resources available to use to do it :P)

Given that 1-sqrt(3)i is a zero of h(x)=3x^3-4x^2+8x+8, find all the zeros of h.

I put this into a graphing calculator online and the graph intersects the x-axis at (-.667,0) which is one of the possible rational zeros -(2/3) but when I try to figure out the other zeros, I end up at a dead end. : /

Any helpis appreciated!