PHOENIX -- Ben Zobrist had three hits and an RBI and Kyle Hendricks gave up two runs while pitching into the seventh inning in the Chicago Cubs' 4-2 victory over the Arizona Diamondbacks at Chase Field on Friday.

Zobrist singled and scored in a three-run first inning and doubled in a run in the fourth off Arizona right-hander Zack Greinke, who has lost the first two starts of a season for the first time in his career.

Kris Bryant had two doubles and an RBI and Anthony Rizzo had an RBI single and two walks for the Cubs (4-1).

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Greinke (0-2) gave up four runs and seven hits in six innings. He struck out eight and walked three. Greinke signed a six-year, $206.5 million contract as a free agent in the offseason.

Hendricks gave up one run on two hits in the first six innings before leaving after rookie third baseman Brandon Drury's RBI double with two outs in the seventh.

Drury had two hits for the D-backs (2-4)

Hendricks struck out five and walked one. He led the major leagues with 17 no-decisions while going 8-7 last season.

Greinke has given up 11 runs in 10 innings in his first two starts after leading the majors with a 1.66 ERA in 2015.

The Cubs wired four hits and a sacrifice fly together with one out in the first inning to take a 3-0 lead.

Jason Heyward, Zobrist and Rizzo singled to drive in the first run, and Bryant drove in the second run with a hustle double on a hard grounder caromed off shortstop Nick Ahmed's glove into short center field.

Miguel Montero's sacrifice fly to the wall in left field made it 3-0.

Dexter Fowler walked and scored on Zobrist's two-out double to the fence in center for a 4-0 lead in the fourth.

Chris Owings singled, stole second, went to third on a groundout and scored on Hendricks' wild pitch to make it 4-1 in the bottom of the fourth.

NOTES: Arizona CF A.J. Pollock (elbow) could miss the rest of the season after surgery to repair an acute fracture of a chronic nonunion in his right elbow, team orthopedist Dr. Don Sheridan said Saturday "If everything goes extremely well, it is going to be at least three months before A.J. starts baseball activities," Sheridan said. "It could be the entire season." A small metal place was inserted into his right elbow during this surgery. A 3-inch screw was inserted into his right elbow during a similar surgery in 2010. "Although this is a very complex problem, I am optimistic about his return," Dr. Sheridan said. ... Cubs C/LF Kyle Schwarber (knee) said he would change nothing about the play on which he suffered a season-ending knee injury after colliding with CF Dexter Fowler on Thursday. "There's nothing I would say or he would say we could do differently," Schwarber said. A date for surgery to repair torn ACL and LCL left knee ligaments has not yet been set. ... Arizona RHP Zack Greinke was 1-0 with a 1.34 ERA in his previous four starts after a loss. Greinke batted eighth in the lineup for the second time this season, and Arizona pitchers have hit in that spot five times in six games. ... The Cubs' loss at Arizona on Friday snapped a 12-game regular-season road winning streak, the team's longest since 1913.