Find roots of polynomial $$ p(x) = s^4+3s^3+50s^2+s+10 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -0.004+0.4482i\\[1 em]s_2 &= -0.004-0.4482i\\[1 em]s_3 &= -1.496+6.8947i\\[1 em]s_4 &= -1.496-6.8947i \end{aligned} $$Explanation
Polynomial $ s^4+3s^3+50s^2+s+10 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
This page was created using
Polynomial Roots Calculator