Tony Romo looked desperate early on, scrambling, rushing throws and doing all he could to avoid the Chicago defense. The only thing he didn’t do was go away.It looks like the Cowboys won’t, either.

Romo passed for 329 yards after a rough start, Anthony Henry had two interceptions for the second straight week and Dallas made a big statement, beating the Bears 34-10 on Sunday night.

The Cowboys showed just how serious a contender they are in the NFC during the second half, outscoring the Bears 31-7. Dallas is 3-0 for the first time since 1999.

“I think this journey that we’re going on has been pretty fun, and I think it’s going to be really exciting for the rest of the year,” Romo said.

He again showed that last season’s rise from obscurity to the Pro Bowl was no fluke, going 22-for-35 with two touchdowns and an interception.

He led the Cowboys on an 89-yard touchdown drive to start the second half, breaking a 3-3 tie. And he put the Cowboys ahead for good, 17-10, with a 10-yard touchdown pass late in the third period that capped a 91-yard drive.

Henry added a 28-yard interception return early in the fourth quarter to make it 27-10, and Marion Barber scored from the 1 after breaking off a 54-yard run.

It was a terrible night all around for the Bears (1-2).

The defending conference champions lost four Pro Bowl players to injuries: linebacker Lance Briggs (groin), cornerback Nathan Vasher (groin), defensive tackle Tommie Harris (knee) and guard Ruben Brown (ankle).