Find roots of polynomial $$ p(x) = -3s^4-18s^3-41s^2-45s-14 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -0.4809\\[1 em]s_2 &= -2.8495\\[1 em]s_3 &= -1.3348+1.2743i\\[1 em]s_4 &= -1.3348-1.2743i \end{aligned} $$Explanation
Polynomial $ -3s^4-18s^3-41s^2-45s-14 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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