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
degree n has exactly n zeros,
counting multiplicity.
Fundamental Theorem of Algebra:
A polynomial p(x) = a_{n}x^{n} + a_{n}_{–1}x^{n}^{–1} + ··· + a_{2}x^{2} + a_{1}x + a_{0} with
degree n at least 1 and with coefficients that may be real or complex
must have a factor of the form x – r, where r may
be real or complex.
See
also
Factor theorem, polynomial
facts
