Hi Brian, I may be wrong but I think the TF's 'big' window is made from tempered glass.
If so, and you can feel the scratches with your fingernail,you might have a tough time polishing them out.
Laminated glass is slightly easier.
Any good glass shop should be able to offer some suggestions.
The other problem you can get from polishing out scratches is distortion in the glass after.
This is due to the fact your are physically removing glass as
you polish.
Personally I would contact your local glass shop (Auto
or domestic) and see what they say.
Good luck
Jock
