The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.912\\[1 em]x_2 &= 4.3973\\[1 em]x_3 &= -5.7354 \end{aligned} $$Polynomial $ 4x^3+9x^2-96x-92 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.