Depending on how 'fine' the scratches are, polish may or may not fully remove them. If it doesn't quite get it done, the scratches may just be highlighted against the more polished nickel; if so, some high-grit sanding with wet/dry sandpaper should clean them up. Start at around ~ 800/1000 grit or so, then follow up through 1200/1500 and 2000. After that, finish off with the polishing paste (Simichrome, Flitz, Mother's Mag, etc) and buff it out.