Trey Wertz hit a 3 with just under a minute to play in the first half to push the Broncos lead to 14 points, but Idaho State rallied with four points in the final :35 seconds to trail by just 10 points at the break.
A freshman center, Bediako scored 10 of his 12 points in the second half and matched his career high,
The Broncos (5-1) shot 31 of 52 from the field (59.6%), including 6 of 14 from distance. Meanwhile, they held the Bengals to just 19 of 51 (37.3%).
Chidi Udengwu had 12 points off the bench to lead Idaho State (2-3). Tarik Cool added 11 points.