There are various proofs of this theorem, which either are expressed in purely algebraic terms, or use the language of algebraic geometry. Three algebraic proofs are sketched below.
theRe Are vARIoUs Proofs Of This theOrEM, which eITheR ARe expressEd IN purely ALgebrAIC TerMS, Or uSE tHe laNGuaGe Of ALgEBraic geomETry. Three ALGebraic proOFs aRe sKetched belOW.