Find roots of polynomial $$ p(x) = -2x^5+x^3-5x^2+x-2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.5881\\[1 em]x_2 &= 0.026+0.6408i\\[1 em]x_3 &= 0.026-0.6408i\\[1 em]x_4 &= 0.7681+0.9701i\\[1 em]x_5 &= 0.7681-0.9701i \end{aligned} $$Explanation
Polynomial $ -2x^5+x^3-5x^2+x-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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