I need to remove a video from the iTunes 12 library

Question

I had some movies that I had on DVD and ripped them to my computer in MP4 format. I wanted to play them on my iPad to watch during my lunch hour at work. 
I thought that iPad could play native "MP4" videos, so I went to File->Add to Library and the movies now show up in the iTunes page when I click on Movies.
However, when I went to sync the movies to my iPad, there was a message saying that it couldn't sync the file because it can't be played on the iPad.  (Thanks Apple for being so hopelessly restrictive!)
Anyway, I got a program called HandBrake that takes a native MP4 and allegedly converts it to an iPad compatible format.  I did this, then added it to the Library, thinking that it would override the file that was there. Apparently it didn't because I got the same error message.
So what I'm trying to do now is to find out how to remove the movie files that I added to Library, delete them, and go back and add the HandBrake files (by the way this has worked file in the past).
What's the best way to remove the errant files  so I can replace them with the HandBrake formatted files.  (The files I have are DVD's that I have purchased, so there is no licensing issue).
Thanks for your help!

Answer 1

OK well, I think all that stuff about licensing is not true, unless explicitly stated
Just working off a gut feeling (or perhaps just wishing it weren't true)?  I suggest actually checking:
https://www.google.com/search?q=us+rip+dvd+legal
http://en.wikipedia.org/wiki/Digital_Millennium_Copyright_Act
Typically any mention of ripping DVDs may get a topic removed from the ASC forums since it is discussion of an "illegal activity" and subject to Terms of Use.
The key thing here is if you upload a file to your library, then try to replace that same file with the same file name, iTunes will ignore it and NOT overwrite the file that's already there. You have to delete the file off first and THEN add to library again.
Correct, iTunes works on a file basis not a track label basis.  That's why I said delete the old file.  You could have 20 identical files with the same name (in different folders) and iTunes will add them all right next to each other.  Nothing new in iTunes behavior there.  In fact if you had gone to the location where the media file was stored and copied a new one over the old one with the same name I believe iTunes would still know it wasn't the original.  You can, however, edit a file using a third party tool and save it in place and iTunes will accept the changes without having to re-add the file.