In a certain exercise I am asked to find all prime ideals of the ring $\mathbb{R}[x]/I$, where $I = \left <(x^2-1)^5\right>$. I know that if $p(x)$ is divisible by $x-1$ or $x+1$, then $p(x)$ does not generate a prime ideal in this case. However, I guess that there are infinite prime ideals of this ring, that is why I suspect something is wrong. How can I continue?
2026-04-09 13:21:22.1775740882
Number of prime ideals
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