Find roots of polynomial $$ p(x) = x^5-2x^3-6x^2+2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.5376\\[1 em]x_2 &= -0.6333\\[1 em]x_3 &= 2.1438\\[1 em]x_4 &= -1.0241+1.3006i\\[1 em]x_5 &= -1.0241-1.3006i \end{aligned} $$Explanation
Polynomial $ x^5-2x^3-6x^2+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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