Disclosed herein are polymers formed by the condensation of bis(hydroxycarbyl)-aminophenolic compounds with aldehydes. The condensation polymers include one or more repeat units having bis(hydroxycarbyl)amino functionality. The hydroxyl groups of the bis(hydroxycarbyl)amino functionalities are available for further condensation with an epoxide, such as ethylene oxide, to yield a polyalkoxylated polymer. The polymers are useful as antipolymerants, polymerization retardants, surfactants, or a combination of these in one or more industrial systems.