An asymptotic estimate is derived for the expected number of extrema of a polynomial ![](//static-cambridge-org.ezproxyberklee.flo.org/binary/version/id/urn:cambridge.org:id:binary:20151016101316284-0806:S1446788700002627_inline1.gif?pub-status=live)
whose independent normal coefficients possess non-equal non-zero mean values. A result is presented that generalizes in terms of normal processes the analytical device used for construction of similar asymptotic estimates for random polynomials with normal coefficients.