Prescott completed 25 of his 33 passes for 305 yards at Raymond James Stadium, throwing four touchdowns and rushing for another with no turnovers to record the best playoff performance of his career to date.
It was ultimately a comfortable win for Dallas to record their first postseason victory on the road in 30 years, despite sections of the media casting doubt on whether the team was ready to make an impact in the playoffs.
"Didn’t listen," Prescott said after the game. "Simply just didn’t listen to anybody else's opinions, anybody else's thoughts. [I] made sure I was conscious of what I put in my own head.
"[I've] got a great supporting cast in my team, people that believe in me. That's all that really matters to me, and just stay focused on what I can do."
It was a less successful outing for kicker Brett Maher, who made NFL history by becoming the first player to miss four extra points in one game.
The 33-year-old remarkably missed his first four attempts before finally sending his fifth effort through the posts in the fourth quarter to an almost sarcastic cheer from the Cowboys fans in attendance.
He was backed by coach Mike McCarthy to bounce back in next week's Divisional Round clash against the San Francisco 49ers though, with NBC DWF quoting McCarthy as saying: "We need to get him ready to go [for San Francisco].
"We need him. He's been super clutch for us all year."
Maher made 50 of 53 extra point attempts in the regular season, but does hold the NFL record for most 60+ yard field goals with four.