Arizona Gov. Jan Brewer, R, will run for a full term in 2010, she confirmed Thursday. Brewer filed the paperwork for a gubernatorial campaign and gave a speech in Tuscon, Ariz. outlining why voters should return her to the governor’s mansion in her own right.

Brewer was elected to a second term as Arizona secretary of State in 2006, then succeeded Democratic Gov. Janet Napolitano after she resigned to become Secretary of Homeland Security.

But she has had a rocky first nine months as governor in which she has battled her own party in the state legislature over how to best close the state’s $2 billion budget deficit. A Public Policy Polling survey released in September pegged Brewer’s approval rating at just 26 percent. That and her reticence about whether or not she would run has drawn other Republicans into the race.