MDS said in his first paragraph the things that I'd try first. If those fail, my thoughts would be:
1. Make sure that you're using a good cable for the run to your bedroom (certainly use shielded cable).
2. You can buy distribution amplifiers for RCA cables. I just wanted to mention those, but I don't know the end result on the signal because they don't have a volume control (at least the ones that I've seen). Using a pre-amp, like MDS suggested, is great because of the volume control. However, if you could find a distribution amp for cheap, it might be worth trying out (just start off with the volume on the sub turned all the way down and work your way up).