Jalen Beeks took over from opener Ryne Stanek in the second inning and struck out seven in 4 2/3 shutout innings, Mike Zunino homered for the second straight game and the Rays beat Kansas City 5-2 Tuesday night, sending the Royals to their fifth straight loss.
Homer Bailey (2-2) failed in his attempt to win three straight starts for the first time in five years, getting taken out after Tampa Bay's first four batters reached in the second inning.
Zunino had three of Tampa Bay's seven hits and drove in two runs.
AL East-leading Tampa Bay clinched its seventh series win in eight series and extended its winning streak against the Royals to 10 games. Kansas City is an AL-worst 7-17.
Beeks (1-0) allowed two hits and two walks, retiring eight straight in one stretch.
"I was trying to lengthen out and see how far I can go and help the bullpen because we've been taxed a little bit lately," he said.
Emilio Pagan struck out two in a perfect ninth for his second save in two nights, the first two saves of his major league career. Rays manager Kevin Cash avoided using Jose Alvarado and Diego Castillo, his regular late-inning relievers.
"To be be able to give Alvarado and Diego two days of rest -- those guys have earned it and they needed it," Pagan said. "I'm glad I could get the job done to kind of reset the back end of our bullpen."
Bailey gave up four runs, three hits and four walks in one inning-plus, his ERA rising to 5.63. He opened both of his innings with walks.
"That was a pretty good indicator right there," he said. "From the beginning, I just wasn't very sharp."
Bailey, who went 1-14 last year, was coming off his first consecutive winning starts since July 2017.
Joey Wendle hit a two-run single in the first, ending an 0-for-16 start.
Zunino had an RBI single in the second, when Jake Newberry entered with the bases loaded and allowed Brandon Lowe's run-scoring single and Yandy Diaz's sacrifice fly that boosted the Rays' lead to 4-0. Zunino homered off Tim Hill in the sixth.
Royals: 3B Hunter Dozier did not play, a day after leaving a game due to back spasms. ... LHP Brian Flynn (sprained left elbow) is to start an injury rehabilitation assignment Wednesday at Triple-A Omaha.
Rays: 1B Ji-Man Choi was placed on the restricted list because of a personal matter.
LHP Blake Snell (2-1) will make his first start in 10 days for the Rays in the finale of a nine-game homestand. The reigning AL Cy Young Award winner missed a start after fracturing his right fourth toe attempting to move a decorative display in a bathroom on April 14. RHP Jakob Junis (1-2) starts the finale of the Royals' 10-game trip.
More AP MLB: https://apnews.com/MLB and https://twitter.com/AP-Sports
Yankees are ready to romp after seizing division lead
Taking a big series from the Rays could be just the start of the Bombers' quest to break away from the AL East pack.
Buster Olney wins the Presidents race
The Nationals gave their Presidents race a little Baseball Tonight twist, in which Buster Olney won the race by a long shot.
Veterans Price, Jackson to pitch as Red Sox meet Jays
David Price is scheduled to return from the injured list Monday afternoon to start for the visiting Boston Red Sox in the opener of a four-game series against the Toronto Blue Jays.
Duffy pitches Royals past Angels 5-1 for 3rd straight win
Danny Duffy won his third straight start and the Kansas City Royals stopped a four-game skid Sunday with a 5-1 victory over the Los Angeles Angels.
'Panda' lifts Giants to win with 10th-inning HR
Pablo Sandoval hits a pinch-hit home run in the top of the tenth inning to give the Giants a 3-2 win over the Diamondbacks.
Sandoval's HR in 10th gives Giants 3-2 win over Diamondbacks
Pablo Sandoval opened the 10th inning with a pinch-hit homer after shortstop Brandon Crawford made a game-saving stop in the ninth, helping the San Francisco Giants beat the Arizona Diamondbacks 3-2 on Sunday.