How to remove scratches from aluminum on iPhone 5?

I've been waiting for my back screen protector to come in the mail. Of course it somehow gets scratched a day before it arrives. It's got a small scratch on the apple logo portion. Any tips for how to remove the scratch or at least make it less visible? I'd like to do so if possible before adding my screen protection. Thanks in advance.

Added (1). Alright, how do I blend it/make it less noticeable altogether?

A scratch is where a layer is removed, you can't just remove it, part of the surface is gone

Dear home recipe is that,
you should have to rub the portion after laying some toothpaste ( after it will became dry ) then sweep it away.
It will make that area clean free of dirt.
Otherwise take a polish which is commonly used to clean a laptop etc…