Neither side can now make the Championship play-offs but it was not for want of trying by the Cherries as they ended their home programme in style with a 4-1 victory.
Greg Halford's goal to halve a 2-0 deficit gave Forest some hope but it was quickly extinguished with two more goals for the home side.
Brazil, who ends his time in charge next week, said afterwards: "I've no complaints about the result, they were the better team and they looked like a settled team who have a very settled style of play. It was tough for us to play against them at times today."