Warren Feeney's (pictured) winner on the quarter-hour mark gave The Cherries all three points on the day, as Sean O'Driscoll's men moved up six places to fifth with the victory.
In-form Plymouth Argyle move second after bringing high-flying Port Vale crashing down to earth with a 5-1 thrashing at Vale Park.
Two goals by David Friio to go with single markers by Marino Keith, Steve Adams and Paul Wotton made it 15 goals scored in three matches by Paul Sturrock's side.
Stephen McPhee got a consolation for The Valiants, who lose a second straight match in the League this season.
Queens Park Rangers drop a place to third after drawing 0-0 at Peterborough United, who had Sagi Burton sent off in the first half for two bookable offences in the space of three minutes.
Sheffield Wednesday were held at home by Rushden & Diamonds, as both sides drew 0-0 at Hillsborough.
Bristol City were also held to a 0-0 draw by Wrexham at The Racecourse Ground in North Wales.
Barnsley got two goals in five first half minutes from Isaiah Rankin to defeat struggling Wycombe Wanderers 2-1 at Adams Park - Andy Thomson replied with a lone strike for The Chairboys.
A Scott Taylor hat-trick - one a penalty - sent Blackpool on their way to a 4-0 thrashing of Hartlepool United at Bloomfield Road.
Jonathon Douglas had opened the scoring for The Seasiders before Taylor banged his three goals in versus Pools.
Brentford recorded an excellent 4-2 win at home to in-form Luton Town at Griffin Park, with two goals from Jay Tabb and single strikes from Stephen Hunt and Ben May.
Adrian Forbes's brace was not enough to earn Mike Newell's side any points in South West London.
New boss Brian Little saw his Tranmere Rovers overturn a 1-0 deficit to defeat Oldham Athletic 2-1 at Prenton Park.
John Eyre had given The Latics the lead but Canadian international Iain Hume was able to equalise for Rovers before Gareth Roberts won it for the home side with 11 minutes remaining.
Chesterfield recorded their first win of the season after beating Swindon Town 3-0 at Saltergate.
Marvin Robinson had two goals for The Spireites while on-loan Jamie Cade scored a third for Roy McFarland's side.
Goals by Iffy Onuora and Michael Boulding gave Grimsby Town a 2-0 victory over Colchester United at Blundell Park.
Stockport County and Notts County played out an entertaining 2-2 draw at Edgeley Park.
Aaron Wilbraham gave The Hatters the lead before The Magpies scored two goals through Darren Caskey and Clive Platt but James Goodwin with a minute left earned a point for new County boss Sammy McIlroy.
Click below for match summeries:
Division Two
Blackpool 4-0 Hartlepool
Bournemouth 1-0 Brighton
Brentford 4-2 Luton
Chesterfield 3-0 Swindon
Grimsby 2-0 Colchester
Peterborough 0-0 QPR
Port Vale 1-5 Plymouth
Sheff Wed 0-0 Rushden
Stockport 2-2 Notts County
Tranmere 2-1 Oldham
Wrexham 0-0 Bristol City
Wycombe 1-2 Barnsley
Click here for an updated Division Two table.
