Find roots of polynomial $$ p(x) = -6x^5-5x^4+4x^3+3x^2+2x-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.3186\\[1 em]x_2 &= 0.8542\\[1 em]x_3 &= -1.2734\\[1 em]x_4 &= -0.3664+0.5888i\\[1 em]x_5 &= -0.3664-0.5888i \end{aligned} $$Explanation
Polynomial $ -6x^5-5x^4+4x^3+3x^2+2x-1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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