Find roots of polynomial $$ p(x) = 18944x^6-26936x^4+26936x^3+26936x-7982 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.2802\\[1 em]x_2 &= -1.6356\\[1 em]x_3 &= -0.3057+0.7399i\\[1 em]x_4 &= -0.3057-0.7399i\\[1 em]x_5 &= 0.9834+0.6841i\\[1 em]x_6 &= 0.9834-0.6841i \end{aligned} $$Explanation
Polynomial $ 18944x^6-26936x^4+26936x^3+26936x-7982 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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