Find roots of polynomial $$ p(x) = s^4+3s^3+50s^2+s+1000000 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= 21.3487+22.6023i\\[1 em]s_2 &= 21.3487-22.6023i\\[1 em]s_3 &= -22.8487+22.6376i\\[1 em]s_4 &= -22.8487-22.6376i \end{aligned} $$Explanation
Polynomial $ s^4+3s^3+50s^2+s+1000000 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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