Let $F$ be a field, and $p \in F[X]$ let be a polynomial of degree $n.$ There exists some field extension where $p$ has $n$ roots. Do you know the proof of following statement?
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its called the fundamental theorem of algebra. look it up – Seth Feb 13 '19 at 00:35
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2This theorem works if $F$ is field of complex numbers, not all fields. – benjamin1996 Feb 13 '19 at 00:42
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I was looking at this just yesterday but realised it's beyond what I know so gave up – Displayname Feb 13 '19 at 00:49