In a week when President Obama officially launched his re-election campaign, a new poll highlights the challenges he faces in one of the nation's key swing states.

According to the poll from Quinnipiac University, a majority (52 percent) of registered voters in Florida disapprove of the job the president is doing in office while 44 percent approve. A majority (51 percent) also feel he does not deserve to be re-elected in 2012.

In a hypothetical matchup with a generic Republican candidate, Obama trails by three, 41-38. In 2008, Obama defeated John McCain in Florida 51-48.

Florida, already one of the most important and competitive states in presidential elections, will see its clout increase in 2012. It gained two delegates after the 2010 Census, giving it 29 electoral votes and making it the third-largest prize (along with New York) on the Electoral College board.

Compounding the president's problems in the state, voters favor repealing the health care law passed last year. When the phrase "health care law" is used, 49 percent of voters favor repeal. When "health care reform law" is used, 54 percent support repeal. Voters are split (46-46) on Obama's handling of the situation in Libya.

Florida's two senators enjoy comparatively low disapproval ratings. Twenty-six percent of Florida voters disapprove of Democratic Sen. Bill Nelson's job performance, and 47 percent approve. Only 23 percent of Florida voters disapprove of Republican Sen. Marco Rubio's performance while 47 percent approve.

Nelson, who will run for his third term in the Senate in 2012, leads a generic Republican candidate 43-39.