Stop. Do not use toothpaste, banana peels, car wax, furniture polish, or commercial "disc repair" machines (SkipDr, etc.). These are abrasive. They strip the protective lacquer, widen scratches, and often destroy the data layer (which is on top of the polycarbonate, not bottom). You will make it worse.
Test. Many "scratches" are oils, fingerprints, or dust refracting the laser. Cleaning fixes them.
Bottom Line: Clean properly first. If deep scratches remain, pay $3 for pro resurfacing or buy a replacement. Home remedies destroy data.