Goals from Steve Cook, Harry Arter and Brett Pitman – his 19th league strike of the season - saw Eddie Howe’s side further consolidate their place at the top of the table.
If the Cherries beat Tranmere next weekend they will be playing in the second tier next season.
It was not a good afternoon for second-placed Doncaster who lost 1-0 at home to Notts County with Joss Labadie’s effort separating the sides at the Keepmoat Stadium.
Fourth-placed Yeovil beat Crewe by Joe Edwards goal in the first minute of the match at Huish Park, while Swindon thumped Stevenage 3-0 with a brace from defender Aden Flint.
Sheffield United lost 3-0 away at Portsmouth as their cushion in the top six was reduced to just four points, with Leyton Orient beating Coventry 1-0 courtesy of Dean Cox’s goal.
Walsall were held to a 1-1 draw at home to Bury as they failed to close the gap on the promotion places, while MK Dons went down 1-0 to Scunthorpe.
Tranmere also fell away in the top half of the table as they lost 1-0 away at Preston with Jeffrey Monakana on target, and Crawley also suffered a defeat as Oldham won 2-1 at Boundary Park.
Shrewsbury shared a goalless draw away at Colchester, while relegation-threatened Hartlepool shared a 1-1 draw with Brentford in the late kick-off.
- Sports & Recreation