The win means that they leapfrog Chelsea, who play Sunderland today, into fourth, a point behind Tottenham.
Elsewhere Aston Villa boosted their survival hopes with a win at Stoke whilst Southampton practically secured their Premier League status with a 2-0 win at doomed Reading.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.