Complex Zeros & Fundamental Theorems of Algebra

Notes:

Terms

Theorems

Fundamental Theorem of Algebra:
Every Polynomial function has at least one complex number zero.

The Zeros Theorem:
A Polynomial function of degree ‘n’ has exactly ‘n’ zeros, provided that a zero of multiplicity ‘k’ is counted ‘k’ times.

Complex Zeros of polynomials with Real Numbers:

Let f(x) be a polynomial with real number coefficients {
  If 'a+bi' is a zero of f(x), then a-bi is also a zero of f(x).
}

“Complex zeros happen in conjugate pairs.”