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I want to use $f(x)=(x-a)g(x)$ as a lemma to prove the fundamental theorem of algebra, where $f(x)$ is any degree $n>0$ polynomial, and $g(x)$ is a degree $n-1$ polynomial and $a$ denotes a specific number. In the link below I stated I could prove the lemma using two ad hoc theorems. Is my proof...