STANFORD, Calif. -- The chants of "BCS! BCS! BCS!" echoed out of the Stanford locker room. After making an emphatic final statement to be included in the Bowl Championship series, the Cardinal now can only wait and watch if their wish will be fulfilled.

Andrew Luck threw four touchdown passes to set a single-season school record and Stanford (No.6 BCS, No. 7 AP) forced five turnovers in its third shutout of the season, beating Oregon State 38-0 Saturday night.

"I think we're the best one-loss team in the country," linebacker Chase Thomas said. "Our offense is really hard to stop right now, they're so reliable, and our defense has made so many strides from last year. I don't see why we shouldn't get to a BCS game."

After setting a school record for wins, Stanford (11-1, 8-1 Pac-10) is hoping for an at-large berth in the BCS with No. 1 Oregon having already wrapped up the Pac-10's automatic berth.

The weekend got off to a good start for the Cardinal before this game even kicked off. With Boise State losing Friday night and LSU falling to Arkansas earlier Saturday, Stanford has a chance to move up from sixth to fourth in the BCS standings -- guaranteeing a berth in one of the high-profile bowls.

While TCU has the inside track for the Rose Bowl, Stanford would be an option for the Fiesta, Orange or Sugar bowls with the Fiesta or Orange being the most likely destinations.

If the Cardinal don't finish in the top four, they could end up in the Alamo Bowl because they lack the strong following bowls look for as they try to sell out their stadiums. That was evident in the large number of empty seats for a rainy regular-season finale with the students on break for the Thanksgiving holiday. Stanford has sold out its 50,000-seat stadium just once all season against USC, drawing 38,775 Saturday.

"I feel like we're an exciting team to watch," said receiver Doug Baldwin, who caught two TD passes. "I'm on the sidelines watching these guys on defense. I don't see what part of the country wouldn't want to see Stanford football come into their town to play."

The Beavers (5-6, 4-4) need to beat the Ducks at home next Saturday to make it to a bowl game for a school-record fifth consecutive season. Ryan Katz threw three interceptions and lost a fumble as Oregon State failed in its first attempt to become bowl eligible and was shut out for the first time in eight years.

"We're really disappointed the way this game went," coach Mike Riley said. "Our only deal left for this team is to do everything we can to prepare for that game next week and win it."

This could be the final home game for Luck and coach Jim Harbaugh. Luck could enter the NFL draft where he would be a high pick and Harbaugh could have offers from higher-profile colleges or the NFL.