The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.1362\\[1 em]x_2 &= 1.0681+0.7871i\\[1 em]x_3 &= 1.0681-0.7871i \end{aligned} $$Polynomial $ 3x^3-3x^2-2x+6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.