  We examine the O(alpha_s) forward-backward asymmetries for the production
process e+ e- --> gamma,Z --> q qbar (g), tagging the outgoing heavy-quark jet
at center-of-momentum energies off the Z-peak. The complicated analytic results
are reduced to simple polynomial forms that provide excellent approximations.
For charm and bottom quark, a full dynamical cancellation gives O(alpha_s)
zeros in the forward-backward asymmetry close to the Z-peak. We conclude with a
detailed numerical analysis of our results.
