How can I remove scratches from my corian countertops?

I have Corian countertops in my mobile home, about 4-1/2 years old. There are quite a lot of scratches on it - especially on the island where I do most of my kitchen work. How can I remove the scratches? I have Weimans cream, which makes it shine, but the scratches are still there. I would prefer homemade fixits if possible - my budget is already stretched very thin. It's a light tan background with different shades of brown white and tan mottled colors. Any suggestions?
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