$$x^3+4x^2+6x+27 = 0$$
Answer
$$ \begin{matrix}x_1 = -4.13011 & x_2 = 0.06505+2.556i & x_3 = 0.06505-2.556i \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
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Polynomial Equations Solver