Goodwin's layup with 13:37 left in the first half capped a 15-2 run to open the game for Memphis (1-1). Goodwin scored 10 of his team-high points in the first half as the Tigers built a 38-23 lead at intermission.
Tre Hagood tossed in 16 points to lead Prairie View as the Panthers remained winless through their first five games. John Brisco added 11 points as Praivie View shot just 34.5 percent from the field (20 of 58) and just 3 of 18 from long range.
Memphis shot 50 percent from the floor, connecting on 24 of 48 shots while hitting 5 of 15 from deep. The Tigers also converted 24 of 32 from the line.