Rose was coming off his worst game of the season, a four-point performance against Arkansas State a week ago. Tuesday, he shot 6-of-8 from the field as Memphis (6-0) built the lead to as many as 23 early in the second half.
Chris Douglas-Roberts led Memphis with 23 points on 11-of-15 shooting, and Shawn Taggart added a career-high 17 points. Joey Dorsey was one of three Tigers with 10 points. He also grabbed 10 rebounds.
Drake Reed led the Governors (2-4) with 21 points, missing only one of his nine shots, while Todd Babington finished with 18 points on 5-of-8 from the field, all from 3-point range. Wes Channels had 16 for the Governors, and Kyle Duncan finished with 10 points, hitting all four of his shots from the field.
Memphis has won all its games by double digits. The Governors, who have lost two straight, never got the deficit under 16 in the final 17 minutes.