Find roots of polynomial $$ p(x) = 2s^4+s^3+3s^2+5s+10 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= 0.7555+1.4444i\\[1 em]s_2 &= 0.7555-1.4444i\\[1 em]s_3 &= -1.0055+0.9331i\\[1 em]s_4 &= -1.0055-0.9331i \end{aligned} $$Explanation
Polynomial $ 2s^4+s^3+3s^2+5s+10 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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