Someone just sent me a banana plant that is several feet tall but it has no roots- I mean zero! Any chance of this thing growing?
As you can tell I'm new to bananas!

Your banana looks good to me. It does have a few "eyes" on the corm to the sides, so can surely make good roots from those areas. I've propagated many from similar material, and they do just fine.
Malcolm

Looks to be a healthy corm, thats where it all begins, many times Bananas are shipped with the roots cut off, shortly after planting it will sprout all the roots it needs, for more info check out Bananas.org, great site lots of help with nanners, just as with this site insightful helpful people, happy to assist in your growing adventures, Enjoy, Do you know what kind of Banana it is?

Thanks, it's a variegated banana from Thailand called Kluai Hug Mulk. Doesn't have as much white as the Ae Ae but still pretty.

That is a Beautiful Banana Plant. Treat her well