Pouliot and Zdeno Chara scored less than 2 minutes apart early in the second period for a 2-0 Boston lead and Rolston added the eventual game-winner with 7 minutes left in the final frame for the Bruins.
Marty Turco turned aside 25-of-27 shots to earn his first victory since Feb. 1, 2011, as the Bruins -- who hold the second seed in the Eastern Conference -- won for the fourth time in five games.
Jonas Hiller made 22 saves for Anaheim.
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