We know that $\mathbb{Q} [x,y]/(x)$ is isomorphic to $\mathbb{Q}[y]$.
My question is that
Is $\mathbb{Q}[y]$ is field ? Yes/No
My attempt: I think yes, because we know $ \mathbb{Q}[x] $ is a field and an integral domain in a similar way we can also said that $\mathbb{Q}[y]$ is a field and an integral domain
Is its true ?