The victory was never in doubt after they went ahead through Mats Hummels early on.
Elsewhere in the competition Freiburg beat Eintracht Braunschweig 2-0, Mainz beat Erzgebirge Aue by the same score and Schalke won 3-0 against Sandhausen.
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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.