The Tigers (3-3) shot 42.9 percent from the field and committed just eight turnovers. Avery Woodson and Nick King each added 11 points, and Austin Nichols had nine with four blocks. Goodwin was 4 of 7 from the field and 7 of 12 from the line.
Memphis limited Bradley (3-5) to 13-of-48 shooting (27.1 percent). Omari Grier led the Braves with 14 points, but no other Bradley players had more than seven.
Bradley pulled within six in the second half, but Memphis put on the throttle and outscored the Braves 36-14 from there.