The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.4271\\[1 em]x_2 &= -0.0469+0.6819i\\[1 em]x_3 &= -0.0469-0.6819i \end{aligned} $$Polynomial $ 3x^3-4x^2+x-2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.