The Browns traveled to Cincinnati for their week two match-up against the Cincinnati Bengals at Paul Brown Stadium. The Browns offense struggled for the second straight week, turning in only 56 rushing yards. Despite Charlie Frye passing for 244 yards, he threw no touchdowns and two interceptions. The Bengals scored  three times in the first half. Wide receiver Kelley Washington caught a 22-yard touchdown pass from quarterback Carson Palmer, and wide receiver Chad Johnson caught an 8-yard touchdown pass from Palmer, in the first quarter. Kicker Shayne Graham added three more points in the second quarter with a 37-yard field goal. Phil Dawson put the Browns' only points on the board in the first quarter with a 30-yard field goal. The second half was slightly better for the Browns, with their defense holding the Bengals scoreless in the third quarter. After a field goal from 37 yards by Graham in the fourth quarter, the Browns capped off a 76-yard drive with Reuben Droughns' first rushing touchdown of the season. The Browns had excellent field position for that drive because of a 75-yard pass from Frye to Braylon Edwards. Running back Rudi Johnson then scored two touchdowns from 1 yard and 9 yards out. Charlie Frye put the Browns' final points on the board when he ran in from two yards out for the score.  In the end though, the Browns would end up losing Round 1 of 2006's Battle for Ohio while dropping to 0-2.  0-1 against division rivals and 0-1 in conference games.

Answer this question based on the article: How many touchdowns did Carson Palmer throw?
2