How can I remove a cut into from the LCD peak on my portable computer?

In cleaning a spot on my peak, I rubbed a bit too hard and gone a smudge, which I believe is small scratches on the surface--I would resembling to know what product/procedure to use to polish out the smudge.

Answer:
This is the best i can do.

Hope this helps.

Good Luck.
There is such a point as Cell phone LCD scratch remover. I wonder if that would work.

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