How can I remove scratches from glass table?

I have used jewelers rouge and a Dremel on low with a cloth disk. This has worked on my dive watches that have a very hard mineral bezel. The problem with a large scratch the buffing will hide the scratch but there will be a slight optical variation but that is less visible than a scratch.

There are commercially available glass polish products that can be helpful and this is an example:

Get such a product and follow the manufacturer's instructions for use. Keep in mind that polishing scratches can take considerable time since you must remove quite a bit of material over a reasonably large area to get the scratch out.

There are also some products that claim to be able to fill scratches in glass but I've not had any success with any of them.