Despite dominating the opening 45 minutes, the young Cherries were made to wait until the second period to break down a resolute Bristol Rovers backline.
Nnamdi Ofoborh opened the scoring with a fine solo effort, beating four men before finishing well from 18 yards out.
The lead was doubled moments later when Connal Morrison converted from point blank range when arriving to meet a cross at the back post.
After the third goal, Ryan Glover netted the fourth with a well-taken effort late on.
“What was pleasing was that we kept up our tempo and movement in the second half and were then able to add the end product.
“It was another step in the right direction and we’re making good progress. We went with three at the back again and that is proving a good experience for our players. Regardless of the formation though, it’s important that our principals remain the same and we’ve been maintaining those high levels in our recent games.
“We’ve got a free weekend coming up, but we’re looking at the possibility of arranging a friendly or intra-squad game to work on some different ideas.”