to ATP sniperzombies! (good name!)
Your plant looks like some type of Dracaena, although I'm not good with names, I have this plant...it doesn't like to be too wet! (or cold) and you said the roots fell off, that sounds like rot which happens when its too wet. You could let it dry out, these regrow pretty readily, and grow from cuttings, personally if you have new soil I'd replant the root, but also cut off the tops, leaving about 8 inches of stem on each part, then I'd plant the tips in a different pot, keeping it moist for a couple weeks while it grows roots, then I'd move those back into the other pot, that way you'll have a nice full plant come summer! Just my thoughts.
There are many experts on here,and one of them will surely let you know what this plant is called, then I'll know (like I said I have several of these)
Cheers
