Answer
fill the blanks with
... $a_{0}$ ... $a_{n}$
Work Step by Step
The Rational Zero Theorem$:$
If $f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots+a_{1}x+a_{0}$
has INTEGER coefficients and
$\displaystyle \frac{p}{q}$ (where $p$ is reduced to lowest terms)
is a rational zero of $f$,
then $p$ is a factor of the constant term, $|\underline{a_{0}}|$, and
$q$ is a factor of the leading coefficient, $|\underline{a_{n}}|$.