Alexander ran for two touchdowns, including a 44-yarder, while Hasselbeck threw for another score and Seattle's defense had eight sacks in a 28-10 win over the Arizona Cardinals on Sunday.
The Seahawks (9-6) survived two fumbles and two interceptions, staying alive in the chase for a possible NFC wild card.
"We have a two-game season," said Hasselbeck, who played through a respiratory virus that sidelined linebacker Chad Brown. "Everyone is talking about this game and the next game. It would have been easy to look past this one."
Arizona (3-12) lost its seventh straight game and 13th in a row on the road -- including all eight this season.
"If you told me before the season we'd not win a game on the road, I would have told you that you were crazy," Cardinals receiver Anquan Boldin said. "Hopefully next year it will be totally opposite."
Seattle, meanwhile, finished 8-0 at home for the first time in the 27-year history of the franchise.
"It is wonderful," coach Mike Holmgren said. "We have worked very, very hard, and we will continue to do so, to establish a home-field advantage."
Alexander had 135 yards rushing on 21 carries, most of it coming when he ran for 109 yards through the first 18 minutes.
"We had to go make something happen right away," Alexander said. "We had to get everything going in the right direction, and everything worked."
The Seahawks built a 21-3 lead and handed it to the defense, with Chike Okeafor collecting two of Seattle's sacks.
"They were holding the ball a little longer," Okeafor said. "They were trying to give their receivers a little more time to get open down the field. Give us an extra second, and there's going to be more sacks."
Hasselbeck completed 17 of 24 passes for 179 yards with one interception before leaving three minutes into the final period with an ankle injury. He briefly left in the second quarter after sustaining a torn labrum in his non-throwing shoulder.
The injury wasn't expected to keep Hasselbeck out of next week's regular-season finale at San Francisco.
Boldin, named to his first Pro Bowl earlier in the week, had 10 catches for 122 yards, including a 60-yard TD in the fourth quarter. His 96 catches on the season broke the NFL rookie record of 90 by New England's Terry Glenn in 1996.
"I realize that broke the record, but it doesn't mean a lot right now," Boldin said. "It's kind of tough because I would like to have a win more."
With the Dallas Cowboys securing one wild card Sunday, the race for the final spot is between the Seahawks, Green Bay Packers and Minnesota Vikings. Seattle has a 1-6 road record and ends the regular season Saturday at San Francisco.
"Rather than focus on what's going on around the league, I think it's more important to focus on what we're doing," Hasselbeck said. "We're going to be playing a pretty good 49ers team."
Arizona's Josh McCown, making his second NFL start, was 25-of-40 for 274 yards.
Cardinals kicker Neil Rackers missed two field goals late in the first half, as Arizona failed to take advantage during a two-minute span where the Seahawks fumbled and had an interception.
Arizona cut the margin to 21-10 on the TD pass from McCown to Boldin early in the fourth. The Cardinals were challenging again on their next possession when Seattle's defense stopped them cold.
McCown was denied on a third-and-1 sneak at the 41, and again when he tried it on fourth down and was stopped by Ken Hamlin.
"Once it got to fourth-and-inches, the quarterback sneak is a definite," Seattle linebacker Anthony Simmons said. "It was just a matter of the big guys jamming up the middle and the linebackers keeping him from bouncing out."
The Seahawks took over, driving for a score that sealed the win on Trent Dilfer's 3-yard pass to Bobby Engram.
- Former Cardinals SS Pat Tillman, who gave up a $3.6 million NFL contract to join an Army Rangers unit, visited his former teammates.
- Seahawks DT John Randle sacked McCown in the second quarter, boosting his NFL total to 142. He also recovered a fumble in the third.
- Arizona G Leonard Davis had a sprained thumb placed in a cast in the third but returned.
- Seattle WR Darrell Jackson left for X-rays on his left ankle in the first, but is expected to play next week.
The Associated Press News Service
Copyright 2003, The Associated Press, All Rights Reserved