ARLINGTON, Texas -- Maybe the Cowboys will be OK without quarterback Tony Romo this time. The future of the Dallas running game with Ezekiel Elliott looks pretty good, too.Dak Prescott led scoring drives on all four Dallas possessions in the first half before throwing his first career touchdown pass in fellow rookie Elliotts first 100-yard game, and the Cowboys beat the Chicago Bears 31-17 on Sunday night to snap an eight-game home losing streak.With his second straight win, Prescott doubled the number of victories the Cowboys (2-1) had in 14 games without the injured Romo over three seasons before the fourth-round pick showed up.Prescotts first TD pass was a 17-yarder to Dez Bryant for a 31-10 lead in the fourth quarter, and hes up to 99 throws without an interception to start his career. Philadelphias Carson Wentz has 102, and those are the two highest career-opening totals for a rookie in NFL history.Daks handled every opportunity hes had right from the start really, really well, coach Jason Garrett said. No different tonight.Brian Hoyer had trouble moving the Chicago offense early with Jay Cutler sidelined by a sprained right thumb as the Bears fell behind 24-3 at halftime and dropped to 0-3 for the second time in two seasons under coach John Fox.Making his 27th career start for his fourth different team, Hoyer was 30 of 49 for 317 yards -- a good portion of that with the game out of each late in the fourth quarter -- and threw for two scores to Zach Miller.We havent played a complete game, Fox said. This week was the reverse of what weve had. We played very poorly in the first half.Elliott finished with 140 yards on 30 carries, including a 14-yard run when he hurdled safety Chris Prosinski. The Cowboys kept giving him the ball while trying to work the clock with a two-touchdown lead in the fourth quarter a week after he was benched because of two fumbles in a win over Washington.Made a lot of good runs tonight, a lot tough runs, a lot of NFL runs, Garrett said. Hes physically tough. Hes mentally tough.It didnt even bother Prescott that Pro Bowl left tackle Tyron Smith missed just the second game of his six-year career after his back tightened up during the week.Prescott was 19 of 24 for 248 yards in Dallas first home win since last years opener, which was a week before the first of two broken left collarbones that kept Romo out of 12 games last season.Romo is expected to miss about another month after breaking a bone in his back in the preseason.Prescott had one of three rushing touchdowns for the Cowboys, who have seven this season after getting eight all of last year, when they finished 4-12.Because the Bears fell behind again, they couldnt do much with the running game. They had just 15 carries for 73 yards and lost leading rusher Jeremy Langford to an ankle injury in the second half.BRYANTS STATUSOwner Jerry Jones said Bryant likely has a sprained right knee after his leg bent awkwardly when the 2014 All-Pro he was tackled on his first catch early in the game. An MRI was planned this week. Bryant wasnt in the locker room when it was open to reporters after the game.MISSING PIECESIt was Chicagos first game without linebackers Danny Trevathan (sprain thumb) and Lamarr Houston (season-ending left ACL year). And the Bears struggled to slow the Cowboys, getting outgained 274-114 in the first half. Dallas had a 19-4 edge in first downs before halftime and finished with 447 yards, including 199 on the ground.STAYING ALIVEThe Cowboys were on their way to a score on a fifth straight possession when Terrance Williams fumbled at the end of a 47-yard catch on the opening drive of the second half. The Bears turned that into the first of Hoyers two TDs to Miller, a 2-yarder on fourth down to cut it to 24-10.QUOTABLEPrescott on finally getting his first touchdown pass: I had a couple of close moments there earlier in the game. And then to get Dez in there, it took a lot of attempts, but it happened.Hoyer: One thing I will say is its the resilience of the room to come back out down 24-3 at halftime and just keep battling. Youve just got to take that and build on it, and figure out how to move the ball a little better.INJURIESChicago S Harold Jones-Quartey left with a concussion in the first half and didnt return. ... The Cowboys lost another lineman when LG Lael Collins missed the second half with a sprained foot. Ron Leary, the starter who lost his job to Collins this season, was his replacement.---Online:AP NFL website: www.pro32.ap.org and www.twitter.com/AP-NFL---Follow Schuyler Dixon on Twitter at https://twitter.com/apschuylerDiscount Air Jordan 1 . 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Paul Gallen remains unclear if he will return from a back injury for Cronullas NRL preliminary final at Allianz Stadium on Friday week.But the Sharks captain concedes that had the team not earned the week off, he would not have been fit to take the field this weekend.Gallen was slightly mobile for the first time on Monday after pulling up sore from a routine day of training last Tuesday, but is still struggling to do anything more than a few laps of the pool as part of his recovery from the flared disc in his lower back.Its just a matter of time until that settles down now and no-one knows how long that will be, he told Sky Sports Radios Big Sports Breakfast.They say theyve seen things like this settle down in a week, two weeks and sometimes three weeks.It really depends on the individual andd how I respond to treatment.ddddddddddddHopefully next Tuesday or Wednesday I might move around.Gallen was so sore he was unable to travel to Canberra to see him teams qualifying final win over the Raiders on Saturday.He said the injury came about after a day of field training, followed by a light boxing and gym session.I just got really tight and then the next morning I couldnt get out of bed, he said.I was like that for three or four days.It came off absolutely nothing. 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