The factorisation thm for polynomial in one variable $p \in F[x]$ says that if $p(\alpha)=0$,
then there is $r \in \mathbb{N} $ s.t $p(x)=(x-\alpha)^rh(x)$ where $h(\alpha)\neq0$.
Is there is similiar thm for polynomial in 2(or n) variables? i.e for polynomials in $F[x,y]$?
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Ron Abramovich
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Related: Does there exist a formal statement of the Multivariable Factor Theorem?. – dxiv May 10 '21 at 04:42
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It is. thank you – Ron Abramovich May 10 '21 at 04:45