Sergachev gave Utah a 4-1 lead with a power-play goal at 2:52 of the third when his point shot beat Rittich low glove side.
Keller scored a power-play goal at 5:41 of the third period to give Utah a 5-1 lead with Rittich caught out of position.
"I don't think 7-2 is a reflection of the game," Mammoth coach Andre Tourigny said. "We didn't have a great start. Our goalie stepped up. We held on to not give up any goals. Then our power play came up big to give us the momentum. Then we finished the period strong. And we scored right away at the start of the second period, a big goal. And there were a lot of key moments, key game management, key plays at crucial moments in that game."
Schaefer scored on the power play at 11:48 of the third to cut the deficit to 5-2. He beat Vejmelka low glove side from the point.
Guenther completed his hat trick and made it 6-2 at 13:54 of the third. He beat Hogberg through the legs off the rush from inside the left circle.
Schmaltz scored his second of the game at 16:55 of the third, beating Hogberg glove side from the low slot off a feed from JJ Peterka to make it 7-2.
"There's going to be nights like this," Schaefer said. "I mean, don't get me wrong, there's going to be ups, there's going to be downs. There's going to be a lot of things you face. I mean, we believe in this group, and we definitely got better, I think, just from the start. Obviously, we got to put the puck in the net a little bit more, and just be better in all areas."
Islanders forward Bo Horvat left the game midway through the third with an apparent lower-body injury after getting tangled with Mammoth defenseman Sean Durzi. There was no update on Horvat, who was named to Team Canada for the Olympic Winter Games Milano Cortina 2026 on Wednesday.
NOTES: Guenther, who had eight career two-goal games entering the game, became the first Utah player this season to score 20 goals. … Schaefer (18 years, 118 days) became the youngest defenseman in NHL history to reach 10 goals, besting the previous mark set by Phil Housley (18 years, 320 days on Jan. 23, 1983). … Ritchie, Shabanov and Marshall Warren become the first Islanders rookies to all factor on the same goal since Matt Martin, Micheal Haley and Mark Katic (Feb. 24, 2011).