Depending on how bad the scratches are, I have had decent success with a good cleaner wax that I already had on hand. There is often juuuuust enough aggressive cleaner to remove the finer scratches. Maybe even a 2nd or 3rd application if necessary. If that doesn't take care of the flaws, then you can move to something more aggressive. Without buying more products, I have even used, YES, toothpaste(white, not gel) on a wet clothe. It's a bit more abrasive and washes off cleanly.