I've rooted my tablet, now how do I get rid of this bloatware?
Yes, you can remove bloatware from rooted tablet, but not using stock uninstall utility. Use Titanium Backup to remove those bloatware. Its the simplest way.

The meaning of being rooted means you can access device as root user of Linux (Android is Linux). A root user can do everything on system. Stock settings utilities aren't designed to use this capability. So, you need to use a third-party app. Titanium Backup take over system as root user, so it can do everything including bloatware removal from ROM.