Find roots of polynomial $$ p(x) = 6x^5+6x+20 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.1672\\[1 em]x_2 &= 1.0611+0.8335i\\[1 em]x_3 &= 1.0611-0.8335i\\[1 em]x_4 &= -0.4775+1.1578i\\[1 em]x_5 &= -0.4775-1.1578i \end{aligned} $$Explanation
Polynomial $ 6x^5+6x+20 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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