Lucky Bamboo Cuttings? ((Dracaena sanderana))

I picked up some really long Lucky Bamboo stalks (18") this week and they 
are too tall for my vase. If I cut them in half or by 1/3rd will the lower

****tion (with the roots) sprout new branches and will the upper ****tion 
(with 2 branches each) re-root?

And yes, I realize this isnt bamboo, but this question isnt about species,

just propagating what I have.

thanks!!

chaz