Find roots of polynomial $$ p(x) = x^4-11x^3+11x^2+9x+18 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.1543\\[1 em]x_2 &= 9.759\\[1 em]x_3 &= -0.4566+0.8048i\\[1 em]x_4 &= -0.4566-0.8048i \end{aligned} $$Explanation
Polynomial $ x^4-11x^3+11x^2+9x+18 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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