$$4p^3+2p^2+19-5 = 0$$
Answer
$$ \begin{matrix}p_1 = -1.70458 & p_2 = 0.60229+1.30021i & p_3 = 0.60229-1.30021i \end{matrix} $$
Explanation
$$ \begin{aligned} 4p^3+2p^2+19-5 &= 0&& \text{simplify left side} \\[1 em]4p^3+2p^2+14 &= 0&& \\[1 em] \end{aligned} $$
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