98 Touring LE won't start in cold weather

Yesterday morning the temperature was about 10 degrees Fahrenheit, and our Ski-Doo Touring LE would not start. It tries to start, but only fires a couple revolutions, then dies. Just now, I took a hairdryer out and put it under the carbs, hoping to warm up the CDI and maybe the carbs, too. After 15 minutes, I tried to start it again and it was worse than before! It might fire once on each pull.

Any ideas??

Thanks!

98 Touring LE won't start in cold weather