Find roots of polynomial $$ p(x) = x^6-2x^5+x^4-3x^3-11x^2+6x+9 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.0389\\[1 em]x_2 &= -0.8024\\[1 em]x_3 &= -1.137\\[1 em]x_4 &= 2.5235\\[1 em]x_5 &= 0.1886+1.9307i\\[1 em]x_6 &= 0.1886-1.9307i \end{aligned} $$Explanation
Polynomial $ x^6-2x^5+x^4-3x^3-11x^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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