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fundamental theorem of algebra

Fundamental Theorem of Algebra

The theorem that establishes that, using complex numbers, all polynomials can be factored. A generalization of the theorem asserts that any polynomial of degreen has exactly nzeros, counting multiplicity.

 

Fundamental Theorem of Algebra:
A polynomial p(x) = anxn + an1xn1 + ··· + a2x2 + a1x + a0 with degree n at least 1 and with coefficients that may be real or complex must have a factor of the form xr, where r may be real or complex.

 

 

See also

Factor theorem, polynomial facts

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