The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -0.8981\\[1 em]s_2 &= -2.5509+2.7222i\\[1 em]s_3 &= -2.5509-2.7222i \end{aligned} $$Polynomial $ 4s^3+24s^2+74s+50 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.