Find roots of polynomial $$ p(x) = 8x^6+8x^5-9x^4-6x^3+2x^2+7 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.8886+0.3447i\\[1 em]x_2 &= 0.8886-0.3447i\\[1 em]x_3 &= -0.1299+0.7479i\\[1 em]x_4 &= -0.1299-0.7479i\\[1 em]x_5 &= -1.2587+0.2961i\\[1 em]x_6 &= -1.2587-0.2961i \end{aligned} $$Explanation
Polynomial $ 8x^6+8x^5-9x^4-6x^3+2x^2+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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