Wetzel

Math 110

3.4 – The Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra –

            If a polynomial function,  P(x), has a degree  and complex coefficients, then P(x) has at least one complex zero.

The Conjugate Pair Theorem –

            If is a complex zero of a polynomial function with real-number coefficients, then the conjugate is also a complex zero of P(x).

            Ex.:

            1.)         Find all zeros.

            2.)  zeros:                 Write a function with the given zeros.

HW:  6^th Ed.  p.332  #3-9odd, 19-25odd, 37-41odd, 47-51odd

          5^th Ed.  p.327  #3-9odd, 13-19odd, 31-33odd, 41-45odd