Ben Johnson received two first-half bookings – the first for simulation as he threw himself over Dan Burn's outstretched leg – to make the visitors' task even more daunting.

Ipswich had initially restricted Newcastle to half chances, with Sandro Tonali striking the crossbar from range, but Johnson's 37th-minute dismissal changed the game.

Newcastle penned the Tractor Boys back and were awarded a penalty in the fourth minute of first-half stoppage-time, with a video assistant referee review seeing Julio Enciso's pull on Jacob Murphy penalised.

Alexander Isak, who had earlier missed two good chances, sidefooted past Alex Palmer to get the Magpies up and running.

Burn headed Kieran Trippier's hanging cross in at the far post to make it 2-0 in the 56th minute, as Ipswich was forced to defend its area for the entirety of the second half.

Newcastle had the third goal its pressure warranted when substitute William Osula nodded Trippier's corner home 10 minutes from time, netting for the first time in the Premier League.

The result means Ipswich is mathematically unable to catch 17th-placed West Ham United, which remains 15 points clear of Kieran McKenna's men despite losing 3-2 at Brighton and Hove Albion.

Newcastle fell out of the top five after Chelsea's 1-0 victory over Everton earlier in the day, but this win takes it back into the UEFA Champions League qualification spots, albeit just two points above sixth-placed Nottingham Forest, which has a game in hand.

Newcastle boss Eddie Howe expects the race for the UEFA Champions League spots to go to the wire.

"The important thing today was that we bounced back from last week. We have been very consistent, and now we have four huge games," he said.

"They do [feel like a cup final]. With four games to go, you're ticking down.

"We have put ourselves back into a strong position, but we know it can change quickly. Four huge games."

Newcastle's run-in sees it take on Brighton, Chelsea, second-place Arsenal and finally Everton.

Meanwhile, Ipswich boss Kieran McKenna savoured what he called "an incredible journey" after the club's relegation was confirmed.

He paid tribute to Ipswich's supporters, whom he and the team emotionally applauded after the final whistle.

"We've been through it the last few weeks," McKenna said.

"We knew it was pretty likely, and we had conversations inside to focus on each game as they come.

"We know there's a time for reflection. Today, the mathematical completion doesn't change too much – we've been through the emotions.

"[The supporters have] been fantastic, been on the journey with us. It's been an incredible journey from the middle of League One to competing in the Premier League in an unprecedented way.

"They have seen the group has given everything and competed in so many games. At the end, we have fallen short, but it's not for lack of effort. They have been fantastic and we really appreciate the support."

Defender Luke Woolfenden conceded Ipswich were punished for being off the pace "too many times" this season.

However, he insisted there is a "pride and determination" among the players to ensure they immediately return to the top flight.

"Obviously disappointed, but within the group and support, there is a sense of pride over where we have come from," he said.

"We've not been at it this season. I think brain-wise, we have probably let ourselves down one too many times.

"Disappointed and gutted the dream is over, but I think there is a pride and determination that we want to be back here in 14 months.

"We went over to the away end at the end, and it's full, [the fans have] been brilliant. We want to come back here and give a better account of ourselves in 14 months, and go toe-to-toe with Newcastle."