UC Davis (3-4, 2-2 Big Sky) used a balanced attack, including 309 yards and 3 TDs through the air and 338 yards and 4 TDs on the ground.
Redshirt freshman Courtney Williams rushed for 84 yards and 3 TDs, including a 55-yarder in the first quarter.
"I knew what the play was designed to do and it worked," Williams said of his first-quarter score. "The defense took the bait."
UC Davis' Randy Wright passed for 309 yards and 3 TDs.
Idaho State (1-5, 0-3) managed to keep up with UC Davis in the first half and early in the third, but began to fade.
Yost's performance was about the only thing UC Davis coach Bob Biggs could point to when considering areas in which his team may have come up short.
"We knew they were going to throw the ball and we couldn't get as much pressure as we hoped we would," Biggs said.
Despite pulling away to a 14-point lead early in the fourth quarter and forcing Idaho State to punt in their next possession, UC Davis wasn't able to turn its back on the Bengals. With nearly 12 minutes left in the game, Wright threw his only interception of the game.
It was deep in UC Davis territory and put Idaho State on the Aggies' 14-yard line. It took Yost just one play, a 14-yard pass to receiver Luke Austin, to bring the Bengals within a TD.
But the Aggies' next drive proved to be a prime example of Biggs' game plan -- using depth at running back to set up his passing game. The Aggies, starting from their 8, ran five consecutive running plays, taking the ball to their 34.
That's when Wright threw a 41-yard bullet down the middle of the field to receiver Alex Cannon. It was his only catch of the day and put the Aggies on Idaho State's 13-yard line. Four plays later, it was Williams taking it in from the 2-yard line for his third TD of the game.
Will Grier threw four touchdown passes to four receivers -- all in the first half -- and No. 25 Florida downed third-ranked Mississippi 38-10 on Saturday night.
Leonard Fournette highlighted his SEC-record third straight 200-yard game with a 75-yard touchdown run, and No. 9 LSU overcame Eastern Michigan 44-22 on Saturday night.
An officiating error led to an Oklahoma State touchdown Saturday in the Cowboys' 36-34 win over Kansas State.
Florida State running back Dalvin Cook exited in the first quarter of the Seminoles' 24-16 win over Wake Forest with a left hamstring injury. He is day-to-day.
As if things weren't going bad enough at Texas, the Longhorns appear to have players on Twitter during lopsided losses and jabs at their coach accidentally being sent from other nearby teams.
Tulane long-snapper Aaron Golub became the first legally blind person to play in a Division I football game Saturday, according to the school.