Dan Gosling’s stoppage-time finish was little consolation for Bournemouth boss Howe but he retains hope of beating the drop.

“It’s tough at the moment to sit here and pick out the positives. We know the situation we’re in is difficult,” said Howe.

“We know tonight was not a good night. I think me sitting here and saying otherwise would be foolish.

“But I do still believe we can get out of the position we are in.

“I do still believe in the players and the group we have, I have no doubt about that. But we have to take tonight on the chin.”

Bournemouth never recovered from Gayle’s fifth-minute opener, which came following a mistake from Jefferson Lerma.

Longstaff’s 30th-minute strike soon compounded matters before substitutes Almiron and Lazaro added to the embarrassment with fine finishes.

The Cherries, who had a Joshua King header correctly ruled out for offside and hit the crossbar through David Brooks, finally claimed their first post-lockdown goal when former Newcastle midfielder Gosling bundled home deep into added time.

Howe is convinced his players are fully committed to fighting for survival going into a daunting run of fixtures against Manchester United, Tottenham, Leicester and Manchester City.

“I don’t doubt that (the players’ effort). It’s very easy from the outside to think differently, especially with the manner of the games at the moment, the lack of a crowd,” said Howe.

“I can see close at hand what it means to the players. How much they are hurting.

“Tonight wasn’t pretty but I can assure everybody it wasn’t through a lack of effort.”

Victory for Newcastle moved them on to 42 points to banish any lingering relegation fears.

Magpies manager Steve Bruce hailed the performance as “arguably” the best since he took charge at St James’ Park last summer.

“The quality in our play and the finishing, we were right at it from the first five minutes, which I was delighted with,” said Bruce.

“It’s worked out a very good night for us. I was very, very pleased to watch it and (it was) arguably our best performance of the season.”

Allan Saint-Maximin was at the heart of Newcastle’s attacking threat, creating the opening three goals.

Bruce had considered leaving the Frenchman on the bench due to the hectic fixture list.

“If you haven’t seen him before then you’re going to enjoy watching him,” said Bruce.

“He’s such a naturally good footballer and yesterday I wasn’t planning on starting him because he’s already played three games and to play four in 11 days I thought is maybe too much.

“But he bounced into training yesterday and he was full of himself, so I said ‘why not?’. He was terrific.”