Find roots of polynomial $$ p(x) = x^4+13x^3+72x^2+189x+81 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.5235\\[1 em]x_2 &= -5.7818\\[1 em]x_3 &= -3.3474+3.9442i\\[1 em]x_4 &= -3.3474-3.9442i \end{aligned} $$Explanation
Polynomial $ x^4+13x^3+72x^2+189x+81 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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