Answer
$true$.
Work Step by Step
Based on the Rational Zero Theorem, the given polynomial will have possible rational zeros of $\frac{p}{q}$ with
$p=\pm1,\pm2,\pm3,\pm6$ (factors of $6$) and
$q=\pm1,\pm2$ (factors of $2$)
Thus, $\frac{3}{2}$ is a possible rational zero and the answer is $true$.
