The 18-point margin of victory was the Dragons' largest this season.
Leon Spencer shot 8-for-8 from the line and added 12 points for Drexel.
Hofstra (2-4, 10-7) was outscored 21-9 at the free throw line and converted three of its 16 shots from 3-point range. The Dragons capitalized on 15 Hofstra turnovers, turning them into 22 points. The Pride cut a 20-point deficit to 10 early in the second half.
Miklos Szabo scored six straight points to cut Drexel's lead to 36-26 with 19:05 remaining, but the Pride never got closer. Szabo and Cornelius Vines each scored 12 points for the Pride. Charles Jenkins added 10 points.
Rodgers' free throws after Hofstra's Dave Johnson drew a technical foul with 4:04 left in the first half gave the Dragons their largest lead of the game at 34-14.
The Dragons took control of the game with a 19-5 first-half run that was punctuated by a 3-pointer by Rodgers with 9:12 remaining. That basket gave Drexel a 26-9 lead.