Find roots of polynomial $$ p(x) = 6x^5-11x^4-33x^3-33x^2+11x+6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.4712\\[1 em]x_2 &= -0.322\\[1 em]x_3 &= 3.6874\\[1 em]x_4 &= -1.0017+0.8855i\\[1 em]x_5 &= -1.0017-0.8855i \end{aligned} $$Explanation
Polynomial $ 6x^5-11x^4-33x^3-33x^2+11x+6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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