This answer is not correct. You are correct in thinking that the bromine is the oxidizing agent but it is not the compound that is oxidized. You can always remember whether an element is oxidized or reduced by thinking of the saying; "LEO the lion goes GER". A Loss of Electrons is Oxidation and a Gain of Electrons is Reduction. The bromine atoms are gaining electrons to go to bromide ions...therefore they are reduced. The zinc loses electrons to go to the zinc cation...therefore it is oxidized.