I have a smudge scratch on my Nikon 15x zoom, how can I get rid of it?

I somehow got this like smudge scratch on my camera lens, and it will not come off. It is effecting my photography, its a non remove-able lens, and I don't want to spend to much on a replace lens.

May be this can help…
(1). Do it yourself methods:
http://www.steves-digicams.com/knowledge-center/how-tos/troubleshooting-repair/lens-repair-how-to-take-scratches-off-digital-camera-lens.html#b

(2). Video guide:
http://revision3.com/tekzilla/fix-scratched-iphone-camera/fix-your-scratched-phone-camera-lens