Answer:
[tex]\dfrac{3}{2}[/tex]
Step-by-step explanation:
If 2x - 3 is a factor of P(x), then 3/2 is a zero of P(x).
[tex]\begin{array}{rcl}2x - 3 & = & 0\\2x & = & 3\\\\x & = & \mathbf{\dfrac{3}{2}}\end{array}\\\\\mathbf{P(\frac{3}{2})} \text{ will equal zero if $(2x-3)$ is a factor of $P(x)$}[/tex]
