arcgis desktop - Can I join a table with a field with several rows with the same word to a polygon?

I have a table that looks like:

Name

X
X
X
Y
Y
Z
Z

I have a polygon feature class with the attributes:

Place

X
Y
Z

Essentially, I want to join that table to the polygon, but I want each row in the table to be kept.
When I attempt a join, it only joins to one x, y, z and not all.

I am using ArcMap.