We examine how accurately the general HZV couplings, with V = Z, gamma, may
be determined by studying e(+)e(-) --> Hf (f) over bar processes at future
e(+)e(-) linear colliders. By using the optimal-observable method, which m
akes use of all available experimental information, we find out which combi
nations of the various HZV coupling terms may be constrained most efficient
ly with high luminosity. We also assess the benefits of measuring the tau-l
epton helicities, identifying the bottom-hadron charges, polarizing the ele
ctron beam and running at two different collider energies. The HZZ coupling
s are generally found to be well constrained, even without these options. w
hile the HZ gamma couplings are not. The constraints on the latter may be s
ignificantly improved by beam polarization.