The Blackhawks, who went 0-for-4 on the power play, were shut out for the second time in four games.
"I think we just need to maybe stick with our process and keep improving on that and not worry about the results," Chicago captain Jonathan Toews said. "When they come, they come in bunches. You can't force it. I think we're making good plays and getting chances, and we're just relaxing with the puck and playing hard without it and giving each other options and things just kind of develop, but when they go in, we tend to focus a little bit too much on the fact that we're not producing and not getting the results. We've just got to stick with it. There's a lot of good there."
Martinook gave Carolina a 1-0 lead at 9:45 of the first period when he redirected Burns' shot from the right point.
Staal made it 2-0 at 16:49, receiving a return pass from Burns and scoring with a wrist shot short side over the glove of Mrazek from the right circle
"'Burnsie's' obviously a shooter, but I gave him such a bad pass that he couldn't shoot it, so he gave it back to me reluctantly," Staal said. "I got a little opening there, and obviously a seeing-eye (shot) with [Jesper Fast] doing a great job screening, and fortunate enough to get in."
Andrei Svechnikov extended the lead to 3-0 at 14:07 of the second period, scoring five-hole from the right circle after Fast knocked down a clearing attempt from Blackhawks defenseman Caleb Jones.