$$x^4+2x^3-3x^2-14x+24 = 0$$
Answer
$$ \begin{matrix}x_1 = 1.48441+0.65428i & x_2 = 1.48441-0.65428i & x_3 = -2.48441+1.71689i \\[1 em] x_4 = -2.48441-1.71689i & \\[1 em] \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
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