2006-12.md

course	course_year	question_number	tags	title	year
Groups, Rings and Modules	IB	12	IB 2006 Groups, Rings and Modules	4.I $. 2 \mathrm{E} \quad$	2006

How many elements does the ring $\mathbb{Z}[X] /\left(3, X^{2}+X+1\right)$ have?

Is this ring an integral domain?

Briefly justify your answers.