Find roots of polynomial $$ p(x) = 90x^8-7x^6-10x^4-6x-9 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.7487\\[1 em]x_2 &= 0.8348\\[1 em]x_3 &= 0.5197+0.5444i\\[1 em]x_4 &= 0.5197-0.5444i\\[1 em]x_5 &= -0.5213+0.4433i\\[1 em]x_6 &= -0.5213-0.4433i\\[1 em]x_7 &= -0.0415+0.7756i\\[1 em]x_8 &= -0.0415-0.7756i \end{aligned} $$Explanation
Polynomial $ 90x^8-7x^6-10x^4-6x-9 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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