Find roots of polynomial $$ p(x) = s^4+6s^3+11s^2+6s+200 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= 1.276+2.5409i\\[1 em]s_2 &= 1.276-2.5409i\\[1 em]s_3 &= -4.276+2.5409i\\[1 em]s_4 &= -4.276-2.5409i \end{aligned} $$Explanation
Polynomial $ s^4+6s^3+11s^2+6s+200 $ 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