The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.0884\\[1 em]x_2 &= -0.2942+0.6263i\\[1 em]x_3 &= -0.2942-0.6263i \end{aligned} $$Polynomial $ 4x^3-6x^2-3x-4 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.