Search results with tag "The factor theorem"

COMPLEX NUMBERS - NUMBER THEORY

THEOREM 5.2.2 (Gauss) If f(z) = anzn + an−1zn−1 + ··· + a1z + a0, where an 6= 0 and n ≥ 1, then f(z) = 0 for some z ∈ C. It follows that in view of the factor theorem, which states that if a ∈ F is a root of a polynomial f(z) with coefficients from a field F, then z −a is a

  Factors, Theorem, The factor theorem