Find roots of polynomial $$ p(x) = 6x^5-x^2-x+7 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.0304\\[1 em]x_2 &= 0.8356+0.546i\\[1 em]x_3 &= 0.8356-0.546i\\[1 em]x_4 &= -0.3204+1.0167i\\[1 em]x_5 &= -0.3204-1.0167i \end{aligned} $$Explanation
Polynomial $ 6x^5-x^2-x+7 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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