MPEJ Volume 13, No. 1, 29 pp. Received: Jul 24, 2006. Revised: Oct 12, 2006. Accepted: Mar 28, 2007. G.Bouch and P.L.Bowers Evaluating Feynman Path Integrals via the Polynomial Path Family ABSTRACT: We present a difficult and detailed calculation of propagators for quadratic potentials using a filtration of the space of variational paths around the classical path by the dense set of polynomial paths filtered by degree. This presents evidence for a cohesive explanation of path integrals as limits of finite-dimensional integrations using a sequence of filtration measures determined for specific dense families of paths by the requirement that the limit yield the free particle propagator. http://www.maia.ub.es/mpej/Vol/13/1.ps http://www.maia.ub.es/mpej/Vol/13/1.pdf http://www.ma.utexas.edu/mpej/Vol/13/1.ps http://www.ma.utexas.edu/mpej/Vol/13/1.pdf http://mpej.unige.ch/mpej/Vol/13/1.ps http://mpej.unige.ch/mpej/Vol/13/1.pdf