The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -7.7326\\[1 em]x_2 &= -0.1337+3.5937i\\[1 em]x_3 &= -0.1337-3.5937i \end{aligned} $$Polynomial $ x^3+8x^2+15x+100 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.