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 degree n has exactly n zeros, counting multiplicity.
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.
See also