How do I show that the units of $R[x] = $ the units of $R$ where $R$ is an integral domain? I understand that given $a,b\in R$, $a$ is a unit if $a\cdot b=1$. But I'm not really sure what this means as far as $R[x]$ is concerned. I'm pretty confused so if someone can talk about any of this in simple terms, that would be awesome.
2026-04-03 14:31:01.1775226661
How do I show that the units of $R[x] = $ the units of $R$ where $R$ is an integral domain?
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