#### Answer

true

#### 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, $a_{0}$, and
$q$ is a factor of the leading coefficient, $a_{n}$.
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$p=3$ is a factor of 6 ($a_{o}$, constant$),$
$q=2$ is a factor of 2 ($a_{3}$, leading)
$\displaystyle \frac{3}{2}$ is a possible zero (needs testing)