Facebook App in Settings

Hi there,

I'm trying to remove the Facebook app from my iPhone5. I've held down the icon til it wiggles, pressed the X, deleted it. I've deleted it from my iTunes library. I've resynced my phone and it's not showing up and not mysteriously reinstalling on my phone (which it did a couple of times) which is great. I then go into my Settings folder on my phone, scroll down the bottom and find it there with Twitter. I click on it and it appears to be an install app for Facebook - Install, Learn More, Sign In etc....

How do I get rid of it completely? As in: I don't want anything Facebook on my phone. Nada. Zip. Zero. Nothing. No Facebook. Is this possible or is there now some deal whereby Facebook is now intrinsically tied with my iPhone5 and there's nothing to be done about it?

I'm sorry if there's already been something about this but I really couldn't find it (or I didn't realise what I was looking at).  :-

Cheers for the help.