Find roots of polynomial $$ p(x) = -8x^6-17x^5-10x^4-2x^3-x^2+10x-14 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.6313+0.4164i\\[1 em]x_2 &= 0.6313-0.4164i\\[1 em]x_3 &= -0.1987+1.0702i\\[1 em]x_4 &= -0.1987-1.0702i\\[1 em]x_5 &= -1.4952+0.589i\\[1 em]x_6 &= -1.4952-0.589i \end{aligned} $$Explanation
Polynomial $ -8x^6-17x^5-10x^4-2x^3-x^2+10x-14 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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