Cable customers in Montana, Colorado, Utah, and Wyoming can be forgiven if they cannot remember the name of the cable company that provides them with service. Originally Bresnan Communications, then Cablevision’s Optimum West, customers are now learning Charter Communications could soon be their new service provider.

James Dolan, CEO of Cablevision Industries, last week acknowledged he had received “unsolicited interest” in the cable properties in the western United States, and told investors he may sell the systems for an undisclosed amount.

Cablevision acquired the systems formerly owned by Bill Bresnan two years ago, investing tens of millions in upgrades to bring them closer to modern standards. Cablevision has received praise from many subscribers for improved service and more competitive rates. But a sale could change that. Charter Cable is perennially rated among the worst cable companies in the United States by Consumer Reports.

Should Charter acquire the systems, it will also inherit a major tax fight initiated by Cablevision, protesting its Montana property tax bills for 2010 and 2011.

Cablevision is upset tax authorities defined the Optimum West operation as a single telecommunications company, not a cable company. That decision effectively doubles its tax rate from 3 to 6 percent — the same rate CenturyLink pays in the state.

If an appeals process finds the state erred in its decision, 29 counties will have to refund millions that Cablevision paid under protest.

Tax officials warn if Cablevision’s tax rate is cut in half and other companies reap similar rewards, homeowners and small businesses will cover the difference. Revenue director Dan Bucks warned that could mean annual tax bills $110 higher on a home assessed at $200,000.