Find roots of polynomial $$ p(x) = -2x^5-2x^4+7x^3+13 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.2727\\[1 em]x_2 &= 1.7349\\[1 em]x_3 &= -2.2916\\[1 em]x_4 &= 0.4147+1.0548i\\[1 em]x_5 &= 0.4147-1.0548i \end{aligned} $$Explanation
Polynomial $ -2x^5-2x^4+7x^3+13 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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