Find roots of polynomial $$ p(x) = 26x^7+104x^3+2x-13 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.485\\[1 em]x_2 &= -0.2418+0.4463i\\[1 em]x_3 &= -0.2418-0.4463i\\[1 em]x_4 &= -1.0034+0.9815i\\[1 em]x_5 &= -1.0034-0.9815i\\[1 em]x_6 &= 1.0026+1.0127i\\[1 em]x_7 &= 1.0026-1.0127i \end{aligned} $$Explanation
Polynomial $ 26x^7+104x^3+2x-13 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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