The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -3.5562\\[1 em]s_2 &= -0.2219+0.6104i\\[1 em]s_3 &= -0.2219-0.6104i \end{aligned} $$Polynomial $ 4s^3+16s^2+8s+6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.