Find roots of polynomial $$ p(x) = x^5+10x+3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.2998\\[1 em]x_2 &= -1.1771+1.2645i\\[1 em]x_3 &= -1.1771-1.2645i\\[1 em]x_4 &= 1.327+1.2619i\\[1 em]x_5 &= 1.327-1.2619i \end{aligned} $$Explanation
Polynomial $ x^5+10x+3 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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