White amassed 196 total yards from scrimmage, including 149 rushing yards with two scores on 23 carries. He also made six catches for 47 yards and a touchdown as the Badgers (7-2) won a 29th consecutive non-conference home game.
Joel Stave made good on 23-of-32 passes for 196 yards and a touchdown with one interception for Wisconsin, which logged a fourth straight win overall.
BYU (6-3) was paced by Taysom Hill, who went 20-of-42 for 202 passing yards, two touchdowns and an interception.
Cody Hoffman led the Brigham Young receiving corps, grabbing seven passes for 113 yards with two TDs.