Describe the ring $\mathbb{Z}[x]/(x^2)$. 
Describe the ring $\mathbb{Z}[x]/(x^2)$.

Attempt: $\mathbb{Z}[x]/(x^2)$ can be thought as the linear polynomials with integer coefficients.
So $\mathbb{Z}[x]/(x^2) = \{a + bx + (x^2) : a,b \in \mathbb{Z}\}$.
What are other things I could describe?
Thank you!

It's a vague question, so the answer might also turn out vague.
As you have already done, describe the elements of the ring. What else? You could describe the addition and the multiplication in the ring, and you could figure out which elements have a multiplicative inverse.
