Clean the tempered glass table with a glass or window cleaner and a soft, lint-free cloth.
Spread toothpaste -- the non-gel variety -- over the scratch on the tempered glass.
Wait for the toothpaste to dry, then buff it off with the cleaning cloth, using a circular motion.
Mix 2 tablespoons of baking soda and 1 or 2 teaspoons of lemon juice in a small bowl. This creates a non-abrasive polish that's effective in removing scratches from the tempered glass.
Stir the polish with a spoon until it forms a thick paste. Add additional lemon juice if necessary.
Rub the polish on the scratch with a cleaning cloth.
Buff the scratch in a circular motion with a clean corner of the cloth.
Rinse the area with a cleaning cloth dampened with water. It may be necessary to repeat this method a few times to remove the scratch.