GLENDALE, Ariz. -- Oregon's De'Anthony Thomas raced 94 yards for a touchdown on the opening kickoff.

The fifth-ranked Ducks barely looked back after that, racing past No. 7 Kansas State 35-17 on Thursday at the Fiesta Bowl in what may have been coach Chip Kelly's final game with the Ducks.

"Our focus was on this game tonight," Kelly said. "If for some reason, someone wanted to talk to me, it's because of those players over there. We have an unbelievable team, an unbelievable program, and any success is because of those guys."

With Kelly reportedly talking to several NFL teams, Oregon (12-1) was too much for Kansas State (11-2) and its Heisman Trophy finalist, quarterback Collin Klein.

"We got beat by a better team tonight, combined by the fact that we let down from time to time," Wildcats coach Bill Snyder said.

Thomas followed his before-everyone-sat-down kickoff return with a 23-yard touchdown catch, finishing with 195 total yards. Kenjon Barner ran for 143 yards on 31 carries and scored on a 24-yard touchdown pass from Marcus Mariota in the second quarter. Mariota later scored on a 2-yard run in the third quarter, capped by an obscure 1-point safety that went in the Ducks' favor.

"It's amazing," said Barner, a senior. "Just to go out like this, the Fiesta Bowl with my teammates, the coaching staff, I couldn't be happier."

Even Oregon's defense got into the act, intercepting Klein twice and holding him to 30 yards on 13 carries. He threw for 151 yards on 17-of-32 attempts.

"They did a great job of flying to the football," Klein said.

Whether Kelly leaves Eugene or not, he had a good run, leading the Ducks to four straight trips to BCS bowls, the last two wins.

And Mariota has been the show-running leader, a question mark before the season who ably ran Oregon's high-octane offense as the first freshman quarterback to start for the Ducks since Danny O'Neil in 1991.

Mariota capped a long drive with an easy 2-yard TD run to the left midway through the third quarter. Kansas State's Javonta Boyd blocked the point-after attempt, but even that went wrong for the Wildcats: Chris Harper was tackled in the end zone for a bizarre 1-point safety that put Oregon up 32-10.

It was the first such 1-point safety in major college football since Texas got one against Texas A&M in 2004, STATS said.

Oregon won the Rose Bowl for the first time in 95 years last season and was in position for a spot in the BCS title game this year before losing in overtime to Stanford on Nov. 17.