Find roots of polynomial $$ p(x) = 10s^3+30s^2+2s+36 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -3.2746\\[1 em]s_2 &= 0.1373+1.0395i\\[1 em]s_3 &= 0.1373-1.0395i \end{aligned} $$Explanation
Polynomial $ 10s^3+30s^2+2s+36 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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