  The paper defines polynomials in a bicategory $\mathscr{M}$. Polynomials in
bicategories $\mathrm{Spn}\mathscr{C} \ $ of spans in a finitely complete
category $\mathscr{C} \ $ agree with polynomials in $\mathscr{C} \ $ as defined
by Nicola Gambino and Joachim Kock, and by Mark Weber. When $\mathscr{M}$ is
\textit{calibrated}, we obtain another bicategory $\mathrm{Poly}\mathscr{M}$.
We see that polynomials in $\mathscr{M}$ have representations as pseudofunctors
$\mathscr{M}^{\mathrm{op}}\to \mathrm{Cat}$. Calibrations are produced for the
bicategory of relations in a regular category and for the bicategory of
two-sided modules (distributors) between categories thereby providing new
examples of bicategories of "polynomials".
