The victory extends Memphis’ school record of 20-win seasons to 14 straight and the Tigers improved to 36-4 after a loss under Pastner.
Memphis hit its first four shots, including two 3-pointers, to take a 12-2 lead. The Tigers went ahead 24-13 before Rutgers scored eight straight points to close within three.
The Tigers answered with Goodwin’s driving layup and two free throws by Dixon for a 28-21 halftime lead.
Rutgers shot just 31.0 percent (9 for 29) in the half and was 2 of 11 from 3-point range.
In the second half, Memphis took its final 11-point lead and Rutgers could never make a big run. The lead fluctuated between five and 10 points for most of the half until a driving layup by Jack made it 53-49 with 3:45 remaining.
Dixon then scored six straight Memphis points, including a 3-pointer from the top of the circle to make it 59-51 with 1:16 left. Rutgers’ last chance came after Mack’s 3-pointer but Johnson made the two free throws.