How can I fix a scratch on the screen of my Brand New LG Strawberry Chocolate phone?

I am very careful with my phone and I don't have any idea how it scratched. I should not have taken off the protective cover.
How can I fix a scratch on the screen of my Brand New LG Strawberry Chocolate phone?
You can get this stuff that covers up scratches on reading glasses (not sure the name) , i saw it in walgreens the other day its by the contact sollution and stuff.