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单词 Fundamental Theorem of Algebra
释义
Fundamental Theorem of Algebra

Mathematics
  • Every polynomial equation

    f(z)=anzn+an1zn1++a1z+a0=0,

    where the ai are real or complex numbers and an ≠ 0, has a root in the set of complex numbers.

    It follows that there exist complex numbers α‎1, α‎2, …, α‎n (not necessarily distinct) such that

    f(z)=an(zα1)(zα2)(zαn).


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