Find roots of polynomial $$ p(x) = 6x^9+4x^8+5x^7-4x^4+4x^2+7x+2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.3454\\[1 em]x_2 &= -0.7609+0.5026i\\[1 em]x_3 &= -0.7609-0.5026i\\[1 em]x_4 &= -0.5+0.866i\\[1 em]x_5 &= -0.5-0.866i\\[1 em]x_6 &= 0.8912+0.3893i\\[1 em]x_7 &= 0.8912-0.3893i\\[1 em]x_8 &= 0.209+1.0879i\\[1 em]x_9 &= 0.209-1.0879i \end{aligned} $$Explanation
Polynomial $ 6x^9+4x^8+5x^7-4x^4+4x^2+7x+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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