Matt Read had a goal and an assist, and Maxime Talbot and Wayne Simmonds scored the other goals for Philadelphia, which got three assists from Chris Pronger.
Giroux has 11 goals this season after his first multigoal game. Jaromir Jagr added two assists.
Patrick Dwyer scored his first two goals of the season for Carolina, one short-handed and another on a penalty shot. Tuomo Ruutu also scored for Carolina.
Flyers goalie Sergei Bobrovsky stopped 17 shots.
Hurricanes goalie Cam Ward had 13 saves on 17 shots before being pulled for Brian Boucher.
The Flyers, who have points in seven straight games (5-0-2), are 17-1-3 in their last 21 games against Carolina. Philadelphia won the first meeting of the season 5-1 on home ice Oct. 29.
Giroux gave Philadelphia the lead on a rush 79 seconds into the game, taking a lead pass from Jagr and beating Ward glove side.
Talbot made it 2-0 at 8:50, as Read tipped him the puck in the low slot from behind the net.
Dwyer cut the lead in half with a short-handed goal - the first the Flyers have allowed this season - at 19:59 of the period, as Eric Staal fed him on the rush.
Giroux scored his second of the game on a rush at 2:45 of the second, beating Ward over his left shoulder from the left circle with. Jagr had an assist.
Philadelphia made it 4-1 on a power play at 6:58, when Simmonds deflected Giroux's shot from the left circle between Ward's pads to end the goalie's night.
Ruutu scored Carolina's second goal at 12:01, scoring from the right circle on a rush.
Dwyer scored on his penalty shot at 4:36 of the third, lifting the puck over Bobrovsky's left shoulder.
Read scored the clincher on a rush, getting a pass from Jakub Vorachek at 16:09 of the third.
NOTES: Flyers coach Peter Laviolette coached Carolina to the Stanley Cup title in 2006. . Jagr has points in eight of his last 10 games. . C Jeff Skinner played in his 100th game for Carolina. . Hurricanes D Joni Pitkanen missed his second straight game (lower body). . The Flyers had no injury scratches. . The teams meet again in Philadelphia next Monday.