The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.5094\\[1 em]x_2 &= 2.9037\\[1 em]x_3 &= -4.3942 \end{aligned} $$Polynomial $ 2x^3+4x^2-24x-13 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.