This works for Android 4.4 and for earlier versions as well
Go to settings > device > application
You will see the list of all apps. Select the one you want and uncheck the tickbox “show notifications”.
You can see the example of how to remove notifications.
This works to disable Facebook notifications in Android as well. Actually it works to disable notifications for any app in Android.
I am still waiting for the Android team to create a notification center where it is possible to manage this easier from one screen, ao there is no need to hop from one to the other to uncheck the magic box.