It was a rampant first period from Jose Mourinho's side, with Pogba opening the scoring spectacularly in the 15th minute, before Ibrahimovic aadded a second seven minutes later, the Swede then sealing things up for the Red Devils, scoring in the 34th minute.
The second half didn't really live up to the same expectations, with Mike van der Hoorn getting a cosolation for Bob Bradley's side with 20 minutes to play. Juan Mata and Modou Barrow had good opportunities towards the end before the end, but the points ultimately belonged to United.
Domination from the off
United were under the microscope once again, after their 2-1 defeat to Fenerbahce midweek, and Mourinho watching from the stands, they started brightly from the off.
Rooney tested the waters just three minutes in, he did well to beat Ki Sung-Yueng on the edge of the area and tried to curl one in from 20 yards but it was just wide of the mark.
Opening the scoring in style
It wasn't long before United took the lead, and they did in the most of the spectacular ways. There was some doubt over Pogba after picking up a slight injury in Turkey, but he was back in some fashion, Rooney's hopeful was played out to Pogba on the edge of the area and despite the angle he did well to hit the half-volley into the top corner.
Marouane Fellani nearly added a second moments later, as he receieved the ball in from the left, but Belgian's effort dribbled just wide of the mark.
Return to form
Pogba had gone a long way to prove his critics wrong, but Ibrahimovic remained a man firmly with a monkey on his back, however he went a long way to proving his doubters wrong by adding United's second and third goals.
The first came in the 22nd minute. Rooney did well to find the Swede who took a great touch before powering his effort into the bottom corner for his first strike in 43 attempts.
The second came 11 minutes from the break, it was poor from the Swans as Rooney was allowed to dink through to Ibrahimovic, The striker got beyond the poor tackle of Angel Rangel and poked it home from close range.
They almost made it four just minutes after, Rooney managed to wriggle his way through the defence and just had the shot to deal with but dragged across the face of goal.
Swansea pull one back
The second half didn't live up to the same intensity, with United looking to have shut up shop having already done the job. They were shaken with 20 minutes to play as the home side got one back.
It was a spectacular assist from Gylfi Sigurdsson as he found the head of der Hoorn. The defender hadn't put in his best performance, yet did well to rise highest and power his header beyond David De Gea.
One last throw of the dice
The game died down from there, but the sides had two decent opportunties towards the end to add their individual goal tallies.
The first came from United in the 77th minute, Rooney did well to get past two defenders and cut it back for Mata, but the Spaniard's effort span past the far post.
The final chance came from the home side seven minutes from time, Jefferson Montero did well to get past two and got the ball in from Barrow. He did scuff his effort, but it was enough to trouble De Gea as he got down to turn it away.