Will FOX FORKS 2011 FOX 32 F120 RL Fork 2011 FOX 32 F120 RL Fork fit on my trek 3700?

I have a trek 3700 mountain bike, i think its a 2008 model cant remember though, i wanna upgrade my forks, will a fox fork fit on it. I know trek 3700 mtb isnt the best mountain bike out there but im really comfortable on it, i go fast on it, i keep up with guys that say there bikes cost any wheres from 1 to 4 thousand dollars. The stock forks on the bike arent that great they seem kinda stiff even when i try to adjust them, only up side to them is they seem light. just want the forts for better suspension clearance, and for up hill climbs. it cost $299 kinda pricey though. or should i upgrade to a better bike (that comes with really good forks)?