We have derived the first five terms of the high temperature series expansions of the dipole and quadrupole susceptibilities for an arbitrary lattice with pair interactions described by an isotropic spin one Hamiltonian H=-JΣijSi.Sj+αSi.Sj2. The dipole and quadrupole phase transition temperatures are determined from these series for a face centered cubic lattice for J>0 and for -0.5<=α<=2. These temperatures correspond to the stability limit of the high temperature phase. A first order transition can occur at a higher temperature. For α=0 and 1 the transition temperatures agree with those found for the Heisenberg and exchange models. From the high temperature series we predict transition temperatures kT/J which are always lower than those found in the molecular field and constant coupling approximations for 0<=α<=1. For α>1 the molecular field approximation predicts only quadrupole ordering. By using high temperature series we have not been able to ascertain whether there is any ordering of the dipoles at some temperature below the quadrupole ordering temperature TQ.