Martin Brodeur allowed three goals on 22 shots as he racked up his 40th win of the season, the eighth time in his illustrious career he has done so, extending his own NHL record.
Leading 2-1, the Devils scored three straight second-period goals to put the game away. After Kovalchuk notched his 37th goal, Zajac made it 4-1 when he deflected Kovalchuk's turnaround wrister past Steve Mason at the 15:40 mark.
Antoine Vermette, Jakub Voracek and Kristian Huselius notched tallies for the Blue Jackets while Mason allowed all six goals on 30 shots in the loss.
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