Find roots of polynomial $$ p(x) = x^6-2x^5-x^4+5x^3+x^2+5x-10 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.0697\\[1 em]x_2 &= -1.6586\\[1 em]x_3 &= -0.4582+1.0708i\\[1 em]x_4 &= -0.4582-1.0708i\\[1 em]x_5 &= 1.7527+1.0407i\\[1 em]x_6 &= 1.7527-1.0407i \end{aligned} $$Explanation
Polynomial $ x^6-2x^5-x^4+5x^3+x^2+5x-10 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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