Find roots of polynomial $$ p(x) = x^5+8x^3-4x+10 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.1614\\[1 em]x_2 &= 0.6461+0.7713i\\[1 em]x_3 &= 0.6461-0.7713i\\[1 em]x_4 &= -0.0654+2.9157i\\[1 em]x_5 &= -0.0654-2.9157i \end{aligned} $$Explanation
Polynomial $ x^5+8x^3-4x+10 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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