A method of synthesizing a multi-armed, water soluble, monofunctional polymeric molecule comprising reacting one or more nonpeptidic monofunctional polymers of the structure poly-W, wherein W is an active moiety providing the monofunctionality for the polymer, with a linker moiety having two or more active sites with which W is reactive, and forming hydrolytically stable linkages in the absence of aromatic rings between the monofunctional polymer and the linker moiety at the linker moiety active sites, the linker moiety having a reactive site for which said active moiety —W is not reactive to provide the monofunctionality for the multi-armed molecule.