Show that (x-2) is a factor of 3x^3 -8x^2 +3x+2

The factor theorem states that a polynomial f(x) has a factor (x-k) if and only if f(k)=0. 
f(2) = 3(2)^3 - 8(2)^2 + 3(2) + 2 = 3(8) - 8(4) + 6 + 2 = 24 - 32 + 8 = 0.
==> (x-2) is a factor.