Find roots of polynomial $$ p(x) = s^4+6s^3+4s^2+7s+2 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -0.3173\\[1 em]s_2 &= -5.4917\\[1 em]s_3 &= -0.0955+1.0671i\\[1 em]s_4 &= -0.0955-1.0671i \end{aligned} $$Explanation
Polynomial $ s^4+6s^3+4s^2+7s+2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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