Find roots of polynomial $$ p(x) = 110x^5-30x^4-31x^3+36x^2-40x-63 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.044\\[1 em]x_2 &= 0.3391+0.8808i\\[1 em]x_3 &= 0.3391-0.8808i\\[1 em]x_4 &= -0.7248+0.3007i\\[1 em]x_5 &= -0.7248-0.3007i \end{aligned} $$Explanation
Polynomial $ 110x^5-30x^4-31x^3+36x^2-40x-63 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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