The Weierstrass division theorem is a generalization of the division algorithm for polynomials with coefficients in a field, such as the complex numbers: If f(ζ) is a polynomial, and \(P(\zeta...The Weierstrass division theorem is a generalization of the division algorithm for polynomials with coefficients in a field, such as the complex numbers: If f(ζ) is a polynomial, and P(ζ) is a nonzero polynomial of degree k, then there exist polynomials q(ζ) and r(ζ) with degree of r less than k such that f=qP+r.
