Find roots of polynomial $$ p(x) = 9x^6+x^5+9x^4+2x^3+7 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.6526+0.5349i\\[1 em]x_2 &= 0.6526-0.5349i\\[1 em]x_3 &= -0.7233+0.5067i\\[1 em]x_4 &= -0.7233-0.5067i\\[1 em]x_5 &= 0.0152+1.1834i\\[1 em]x_6 &= 0.0152-1.1834i \end{aligned} $$Explanation
Polynomial $ 9x^6+x^5+9x^4+2x^3+7 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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