We calculate first through seventh order terms of a blow-up formula for SO(3)-Donaldson polynomials, using equivariant cohomology and techniques similar to those of [Oz]. These formulas are used to extend the results of [B2] to any rank one negative definite four manifold and to describe the extension of the equivalence proved in [M] of the Donaldson polynomial and O'Grady's algebro-geometric analogues to the four dimensional classes.