Find roots of polynomial $$ p(x) = x^6+4x^5-6x^2+10 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.0368\\[1 em]x_2 &= -4.0795\\[1 em]x_3 &= 0.9862+0.4766i\\[1 em]x_4 &= 0.9862-0.4766i\\[1 em]x_5 &= -0.428+1.337i\\[1 em]x_6 &= -0.428-1.337i \end{aligned} $$Explanation
Polynomial $ x^6+4x^5-6x^2+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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