The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.9566\\[1 em]x_2 &= 4.1653\\[1 em]x_3 &= -5.4587 \end{aligned} $$Polynomial $ 4x^3+9x^2-86x-87 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.