The way to polish the bore is first, take a clean patch and put a quality gun oil on it. Then swab the barrel good with the oil patch. Next with a tight fitting jag and patch smear some of the JB Bore Paste on that and work the first couple five runs or so, down in short strokes.

Every 15 strokes, add a little more paste onto the patch. On the next set of strokes run the full length of the barrel from muzzle to breech. I like to give 50 strokes. A stroke is all the way down and then back up.

After you have 50 strokes, give the thing a good soap and water bath and then run some solvent patches through it. It should shine like a new dime at this stage. Then dry patch it good, and be sure and put a good oil back in the bore since you stripped the bore of everything.