Find roots of polynomial $$ p(x) = 2s^4+12s^2+16 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= 2i\\[1 em]s_2 &= -2i\\[1 em]s_3 &= 1.4142i\\[1 em]s_4 &= -1.4142i \end{aligned} $$Explanation
Polynomial $ 2s^4+12s^2+16 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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