How possible/easy it is for someone in the EU to register a company in the US (with a US bank account) without being a US resident? EDIT: A cursory search on g

How possible/easy it is for someone in the EU to register a company in the US (with a US bank account) without being a US resident? EDIT: A cursory search on google indicates it's possible, but it seems like a field rife with scams. Any advice from someone who has done it before would be highly appreciated.