4.I .2E. 2 \mathrm{E} \quad.2EGroups, Rings and ModulesPart IB, 2006How many elements does the ring Z[X]/(3,X2+X+1)\mathbb{Z}[X] /\left(3, X^{2}+X+1\right)Z[X]/(3,X2+X+1) have?Is this ring an integral domain?Briefly justify your answers.