Find roots of polynomial $$ p(x) = s^3+s+1 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -0.6823\\[1 em]s_2 &= 0.3412+1.1615i\\[1 em]s_3 &= 0.3412-1.1615i \end{aligned} $$Explanation
Polynomial $ s^3+s+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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