Using a machine polisher and a heavy polishing pad (in this case a wool pad), apply heavy polishing compound to the polishing pad in an X pattern.

If using a rotary polisher as depicted, use the medium speed setting to work the polish into the paint, make sure to cover the entire sanded area.

If using a random orbital polisher (also known as a DA or "dual action" polisher), use the highest speed setting.

Be sure to keep the polisher level, and moving. Don't keep it in one spot. Polish even beyond the sanded area.

Polishing by hand is NOT recommended for this repair.