The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.1369\\[1 em]x_2 &= -0.1934+0.6343i\\[1 em]x_3 &= -0.1934-0.6343i \end{aligned} $$Polynomial $ 12x^3-9x^2-6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.