Describe explicitly $\text{spec}(\mathbb{R}[x])$ and $\text{spec}(\mathbb{C}[x])$

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Describe explicitly $\text{spec}(\mathbb{R}[x])$ and $\text{spec}(\mathbb{C}[x])$, (where for a given ring $R$, $\text{spec}(R)$ is defined to be the set of all prime ideals of $R$).

I don't have an attampt or something to start with.

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Let $F = \mathbb R$ or $\mathbb C$. Since $F$ is a field, $F[x]$ is a principal ideal domain. What can you say about the prime ideals in a principal ideal domain?