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,
Fundamental Theorem of Algebra:
A polynomial p(x) = anxn + an–1xn–1 + ··· + 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 x – r, where r may
be real or complex.
Factor theorem, polynomial