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Prime elements in the subring $R = \mathbb Z + x \mathbb Q[x]$ of $ \mathbb Q[x]$
Two questions I was given and want to make sure my reasoning is correct.
(1) Show that if $p$ is prime in $Z$, then $p$ is prime in $R = \mathbb Z + x \mathbb Q[x]$ (the subring of polynomials ...