Liverpool, now enjoying their best start to a domestic season having accrued 42 points from their opening 16 games, moved top of the Premier League with the victory, one point ahead of Manchester City who face Chelsea later on Saturday.
Salah was awarded the man of the match award, but refused to take the bright yellow brick, insisting on giving it to his teammate James Milner to mark his 500th appearance in the Premier League.
The first came from a dubious offside call; Roberto Firmino's long range effort parried into a risky area by Asmir Begovic for Salah to slam home, though replays show the Egyptian was offside when the shot was taken. This league is so hard to play in, but 42 points I usually had in April and now it is December.
Speaking to reporters after the game, Klopp admitted that he could see little room for improvement in his side's second-half display, though he stressed that they took time to find their "rhythm" before the break.
The hosts nearly halved the deficit just four minutes later when King beat Alisson to a low cross from the left, but he went down in search of a penalty when he may have been better served trying to engineer a shot from close range. The third goal as well, how we set it up, that was good.
He wasn't finished just yet as he topped off his afternoon with an outrageous goal where he toyed with the Bournemouth defence and goalkeeper Asmir Begovic.
Liverpool fans will now temporarily become Chelsea fans as they hope Pep Guardiola's side will drop points at Stamford Bridge.
The Reds are just the fourth team in the Premier League era to have begun a season by avoiding defeat in their opening 16 matches, joining Arsenal's Invincibles, Manchester United's 2010-11 team and Manchester City last term in achieving the rare feat.
Milner was named as the Reds' right-back for the clash at Dean Court, with Jurgen Klopp having chosen to bench his only fit orthodox right-back in Trent Alexander-Arnold ahead of Tuesday's Champions League match-up with Napoli at Anfield.More news: Trump Appoints Gen. Mark Milley Chairman Of The Joint Chiefs Of Staff
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