Find roots of polynomial $$ p(x) = 2x^5-x^4-4x^3-2x^2-6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.971\\[1 em]x_2 &= 0.3776+0.8776i\\[1 em]x_3 &= 0.3776-0.8776i\\[1 em]x_4 &= -1.1131+0.6548i\\[1 em]x_5 &= -1.1131-0.6548i \end{aligned} $$Explanation
Polynomial $ 2x^5-x^4-4x^3-2x^2-6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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