Find roots of polynomial $$ p(x) = 12x^6-43x^5-9x^4+2x^3-16x^2+6x-9 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.9234\\[1 em]x_2 &= 3.7925\\[1 em]x_3 &= 0.4746+0.4981i\\[1 em]x_4 &= 0.4746-0.4981i\\[1 em]x_5 &= -0.1175+0.6623i\\[1 em]x_6 &= -0.1175-0.6623i \end{aligned} $$Explanation
Polynomial $ 12x^6-43x^5-9x^4+2x^3-16x^2+6x-9 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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