Find roots of polynomial $$ p(x) = 2352610x^5-632917x^4+67767x^3-3959x^2+214x-2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.0113\\[1 em]x_2 &= 0.0096+0.0662i\\[1 em]x_3 &= 0.0096-0.0662i\\[1 em]x_4 &= 0.1192+0.0511i\\[1 em]x_5 &= 0.1192-0.0511i \end{aligned} $$Explanation
Polynomial $ 2352610x^5-632917x^4+67767x^3-3959x^2+214x-2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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