Juve have now not tasted defeat in 45 league matches, and went ahead through Andre Pirlo early on.
Further goals from Arturo Vidal and Alessandro Matri put the game beyond Roma, who responded through Pablo Osvaldo, but Sebastien Giovinco then netted a fourth late on for Juve.
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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.