Works enter the public domain in several different ways.
You can reference the public domain chart created by Cornell to see if a work has already entered into the public domain.
The First Folio of Shakespeare from 1623, for example, is in the public domain. In contrast, a newer edition, with newly added annotation or comments, could still be subject to copyright, but only for parts recently added. Original materials created by Shakespeare cannot be removed from the public domain.
Public Domain and Plagiarism
When you find something in the public domain, you can use it however you'd like without having to worry about copyright law. Plagiarism is another matter: even if something is in the public domain, you should still provide proper citation when you use the work. You are not bound by copyright law to give attribution; you are bound by academic integrity to give attribution when you use someone else's work.
"Copyright Basics" by Yuanxiao Xu, University of Michigan - Ann Arbor is licensed under CC BY 4.0