in esriDataSourcesRaster.PolynomialXform
the coefficient can be acquired as: coarr=aPolynom.GetCoefficients(esriTransformForward)
then the function is as:
x = coarr(0, 0) + coarr(1, 0) * dx + coarr(2, 0) * dy + coarr(3, 0) * dx * dy + _
coarr(4, 0) * dx * dx + coarr(5, 0) * dy * dy + _
coarr(6, 0) * dx * dx * dy + coarr(7, 0) * dy * dy * dx + _
coarr(8, 0) * dx * dx * dx + coarr(9, 0) * dy * dy * dy
y = coarr(0, 1) + coarr(1, 1) * dx + coarr(2, 1) * dy + coarr(3, 1) * dx * dy + _
coarr(4, 1) * dx * dx + coarr(5, 1) * dy * dy + _
coarr(6, 1) * dx * dx * dy + coarr(7, 1) * dy * dy * dx + _
coarr(8, 1) * dx * dx * dx + coarr(9, 1) * dy * dy * dy
where (dx,dy) is the source point.