  Given a multi-variable polynomial, there is an associated divided
symmetrization (in particular turning it into a symmetric function). Postinkov
has found the volume of a permutohedron as a divided symmetrization (DS) of the
power of a certain linear form. The main task in this paper is to exhibit and
prove closed form DS-formulas for a variety of polynomials. We hope the results
to be valuable and available to the research practitioner in these areas. Also,
the methods of proof utilized here are simple and amenable to many more
analogous computations. We conclude the paper with a list of such formulas.
