  We analyze the potential of the Next Linear $e^+e^-$ Collider to study
anomalous quartic vector-boson interactions through the processes $e^+ e^- \to
W^+W^-Z$ and $ZZZ$. In the framework of $SU(2)_L \otimes U(1)_Y$ chiral
Lagrangians, we examine all effective operators of order $p^4$ that lead to
four-gauge-boson interactions but do not induce anomalous trilinear vertices.
In our analysis, we take into account the decay of the vector bosons to
fermions and evaluate the efficiency in their reconstruction. We obtain the
bounds that can be placed on the anomalous quartic interactions and we study
the strategies to distinguish the possible couplings.
