Draisaitl scored on a tip in front at 15:19 to put the Oilers up 2-0.
"We had a lot of blue-paint goals, second or third opportunities, screens, tips, stuff like that," Hendricks said. "That's how we're going to score goals, especially this time of year."
Gudas scored 31 seconds into the second period to make it 2-1, converting a centering pass out of the corner from Sean Couturier.
Eberle ended an eight-game point drought when he scored at 7:17 to make it 3-1.
"It's fun to put the puck in the net, it gives you confidence," Eberle said. "You can get so many chances, and that is a good thing because it means it is coming, but when you finally put it in, it is nice."
Nugent-Hopkins scored 1:15 later when Eric Gryba's point shot bounced in off his leg to give Edmonton a 4-1 lead.