9-14-2023 Chapter 4 Part 2

Class Notes

Topics Covered:

  • Finding zeros of a polynomial function written in factored form

  • Finding zeros and their multiplicities given a polynomial function written in factored form.

  • Multiplying expressions involving complex conjugates

  • Finding a polynomial of a given degree with given zeros: Real zeros

  • Finding a polynomial of a given degree with given zeros: Complex zeros

  • Using the rational zeros theorem to find all zeros of a polynomial: Irrational zeros

  • Using a given zero to write a polynomial as a product of linear factors: Complex zeros

  • Using the rational zeros theorem to find all zeros of a polynomial: Complex zeros

  • Using a graphing calculator to find local extrema of a polynomial function

  • Using a graphing calculator to solve a word problem involving a local extremum of a polynomial function

  • Determining the end behavior of the graph of a polynomial function

  • Inferring properties of a polynomial function from its graph