Question 827427
by synthetic division we can determine that

{{{3x^3+x^2-8x+4=(x-1)(3*x^2+4x-4)}}}

then by some other method we can see that

{{{(3*x^2+4x-4)=(3x-2)(x+2)}}}


therefore the solution is:

{ 1, 2/3, -2}