  We introduce a six-variable polynomial invariant of Niebrzydowski tribrackets
analogous to quandle,rack and biquandle polynomials. Using the subtribrackets
of a tribracket, we additionally define subtribracket polynomials and establish
a sufficient condition for isomorphic subtribrackets to have the same
polynomial regardless of their embedding in the ambient tribracket. As an
application, we enhance the tribracket counting invariant of knots and links
using subtribracket polynomials and provide examples to demonstrate that this
enhancement is proper.
