Determining the t(t)over-bar and ZZ couplings of a neutral Higgs boson of arbitrary CP nature at the next linear collider

The optimal procedure for extracting the coefficients of different components of an observable which takes the form of unknown coefficients times functions of known form is developed. When applied to e(+)e(-)--><t(t) over bar>+ Higgs production at root s=1 TeV and integrated luminosity times efficiency of 50 fb(-1), we find that the <t(t)over bar>-->Higgs CP-even and CP-odd couplings and, to a lesser extent, the ZZ-->Higgs (CP-even) coupling can be extracted with reasonable errors. Typically, a standard-model-like CP-even Higgs boson can be distinguished from a purely CP-odd Higgs boson at a high level of statistical significance, and vice versa.