Chapter 3.4, Problem 1E

If the polynomial function

$P\left(x\right)=a_n{x}^n+a_{n-1}{x}^{n-1}+\dots +a_{1}x+a_0$

has integer coefficients, then the only numbers that could possibly be rational zeros of $P$ are all of the form $\frac{p}{q}$, where $p$ is a factor of __________ and $q$ is a factor of __________. The possible rational zeros of $P\left(x\right)=6x^3+5x^2-19x-10$ are _________________________.