Question: Who did the injured quarterback of the 2004 Bears season play football for in college?

Context paragraphs:
1983 Chicago Bears season: The 1983 Chicago Bears season was their 64th regular season completed in the National Football League.  The club posted an 8–8 record under second year head coach Mike Ditka, but missed postseason play.  Jim McMahon was the quarterback, who completed 175 of 295 pass attempts.  The Bears 1983 NFL Draft class was ranked #3 in "NFL Top 10"' s greatest draft classes.

Bob Adams (American football): Robert Bruce "Bob" Adams (born August 15, 1946) is a former professional American football tight end in the National Football League (NFL) and a spokesperson for the Church of Scientology International.  He attended El Camino High School during the 1960s, and was encouraged by a coach at the College of San Mateo to play football.  He played for a single season at the college, during 1966, while participating in other sports at the school including track-and-field and basketball.  A former coach of the College of San Mateo, Doug Scovil, recruited Adams to the College of the Pacific, where he received a full scholarship to play football there.  By 1968, he was captain of the team's offense at the school.

2010 Chicago Bears season: The 2010 Chicago Bears season was the franchise's 91st season overall in the National Football League.  Coming off a disappointing 7–9 record in the 2009 season and failing to qualify for the NFL playoffs for a third consecutive season, the Bears sought to develop their roster and improve on their record in 2010, particularly their standing in the NFC North.  All Bears home games were scheduled to be played at Soldier Field.  With their final regular season record at 11–5, the Bears improved drastically on their 2009 record.  Their regular season finished with their first playoff appearance since the Super Bowl season of 2006, winning the NFC North division and earning a bye as the NFC's second seed.  The Bears won their first game in the Divisional round of the playoffs, defeating the Seattle Seahawks on January 16, 2011, to advance to the NFC Championship game.  The Chicago Bears's 2010 season came to an end January 23, 2011 with a 21–14 loss to their longtime rivals and eventual Super Bowl champion Green Bay Packers in the NFC Championship Game.

1988 Chicago Bears season: The 1988 Chicago Bears season was their 69th regular season and 19th postseason completed in the National Football League.  The Bears looked to improve on an 11–4 finish that won them the NFC Central Division but where they were eliminated for the second consecutive year by the Washington Redskins.  The Bears won 12 games and lost 4, tying for the best record in the league with the Buffalo Bills and the AFC Champion Cincinnati Bengals, and earned home field advantage in the NFC.  However, the Bears failed to advance to the Super Bowl as one of the top two seeds for a third straight season, falling to the eventual Super Bowl champion San Francisco 49ers in the NFC Championship Game at Soldier Field.  This was the second time that the 49ers and Bears had met for a trip to the Super Bowl during the decade, with the 49ers defeating the Bears on their way to Super Bowl XIX.

2004 Chicago Bears season: The 2004 Chicago Bears season was their 85th regular season completed in the National Football League.  The club posted a 5–11 record under first year head coach Lovie Smith.  The team was once again in a quarterbacking carousel after the injury of starter Rex Grossman early on in the season.  This was the club's eighth losing season in the past nine.

Rex Grossman: Rex Daniel Grossman III (born August 23, 1980) is a former American football quarterback who played in the National Football League for nine seasons.  Grossman played college football for the University of Florida.  He was selected by the Chicago Bears in the first round of the 2003 NFL Draft, and has also played professionally for the NFL's Houston Texans, Washington Redskins, Cleveland Browns, and Atlanta Falcons.

1931 Chicago Bears season: The 1931 Chicago Bears season was their 12th regular season completed in the National Football League.  The club posted an 8–5 record under sophomore head coach Ralph Jones.  The club finished in third place once again behind the Green Bay Packers and the Portsmouth Spartans.  The Bears opened the season well, winning three of their first four games, including victories over the Cardinals and Giants.  Chicago then dropped two in a row, both at home to the Packers and Yellowjackets.  Four consecutive wins in the middle of the season put the Bears back in contention; however, another weak ending, losing two of their last three, made the season somewhat of a disappointment.  Grange and Nagurski again carried the team, with 9 touchdowns between them (7 by Grange).  The Bears' biggest weakness was an aging interior line, with few young lineman joining the team who had an impact.  They also lacked a consistent kicking game, now that Paddy Driscoll and the Sternaman brothers had all retired.  Owner George Halas would remedy these problems over the next few years and get the Bears back on top.

1993 Cleveland Browns season: The 1993 Cleveland Browns season was the team's 44th season with the National Football League.  This season was notable for coach Bill Belichick deciding to bench, and then ultimately release, longtime starting quarterback Bernie Kosar in favor of Vinny Testaverde.  Kosar resurfaced during the season with the Dallas Cowboys, when he was part of the eventual Super Bowl champions as a fill-in for injured quarterback Troy Aikman.  The Browns get off to a 5-2 start despite the Quarterback Controversy.  Prior to the start of the season the Browns signed Free Agent Quarterback Vinny Testaverde.  Originally Testaverde was supposed to back-up his former University of Miami teammate Bernie Kosar.  However, when Testaverde performed better when given the opportunity to play some felt there should be a change at the Quarterback position.  However, the Browns went beyond that by unceremoniously releasing Kosar in the middle of the season.  The Browns lost their next four games and seven of their last nine games to finish with a 7-9 record.

1935 Chicago Bears season: The 1935 Chicago Bears season was their 16th regular season completed in the National Football League.  The club posted a 6–4–2 record, finished in a tie for third (and last) place in the Western Division, and failed to return to the championship game.  The Bears had little trouble with the weaker teams in the league, led the league in scoring, and occasionally showed signs of brilliance against top-flight competition, but for the most part they were outclassed by the Lions, Packers, and Giants.  The biggest problem was the veterans from the 1920s had largely retired or were past their prime but not enough young talent had emerged to offset these losses.  In particular, the retirement of Link Lyman and Red Grange hurt the team, especially on defense.  Additionally, Bronko Nagurski and Bill Hewitt were injured for large portions of the season and could not play to their normal level.

1925 Chicago Bears season: The 1925 Chicago Bears season was their sixth regular season completed in the National Football League.  The club posted a 9–5–3 record under head coach George Halas earning them a seventh-place finish in the team standings, their worst showing to that date.  However, the 1925 Bears were the most notable team in the young NFL's history to that point—all because of the addition of college star Red Grange.  The Bears started slow, just like in 1924, starting the season with two ties and a loss to Green Bay (the Packers' first win ever over the Bears).  The Bears regrouped, however, and won 6 of their next 7.  More importantly, the college season ended in mid-November and the Bear's owner Halas signed Grange.  Grange was under contract but did not play on November 22 as the Bears defeated the Packers in a rematch.  When Grange did suit up for his first game on Thanksgiving Day against the Cardinals, an estimated 39,000 showed up to see a 0–0 tie.  (A large crowd at that time was about 10,000 fans and most games had less than 5,000 paying customers).  That was just the beginning of 7 games in 18 days for Grange and the Bears, most to enormous crowds.  Over 70,000 showed up on December 6 to see the Bears beat the Giants at the Polo Grounds—this was by far the largest crowd to see a professional football team and the gate receipts saved an ailing Giants franchise.  By the end of the whirlwind football tour, the Bears were exhausted and feebly dropped their last three games, only scoring 6 points total.  Even the lowly Detroit Panthers easily defeated the mighty Bears.  Still, Chicago's success spurred by Grange put the NFL on the "map" and may have saved the league from an early demise.

Supporting paragraphs: 2004 Chicago Bears season Rex Grossman
Answer: University of Florida