$$-x^3+8x^2+105x+114 = 0$$
Answer
$$ \begin{matrix}x_1 = -1.21535 & x_2 = -6.11757 & x_3 = 15.33292 \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
This page was created using
Polynomial Equations Solver