Find all zeros of f

Question

f(t)=(t-2)^3-(t-2)

ok... now do I have to factor out (t-2)^3 to [t^3-6(t^2)-12t-8] and then minus (t-2) resulting in [t^3-6(t^2)+13t-6]?
if so, where can I go from there??

sorry... the second answer would be [t^3-6(t^2)+11t-6]