The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -4.9421\\[1 em]x_2 &= 2.4711+3.6495i\\[1 em]x_3 &= 2.4711-3.6495i \end{aligned} $$Polynomial $ x^3-5x+96 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.