That link worked, that is a pretty gnarly scratch...one of them looks like it might have even punctured the screen. No way to "fix" that, just minimize it...will take some time and effort. If you use the eraser, just rub light/moderate with the direction of the scratch. Your trying to smooth the ripped up edges of the scratch and remove any of the material that may be hanging loose. You don't want to go crazy in circles or rub across the scratch as you may abrade the area around it. It may take a few minutes, just be careful/patient. Any filler you try will work much better with a smooth scratch.
I wouldn't try the more abrasive/dangerous methods until you try a soft approach first.