9-12-2023 Class Chapter 4 Part 1

Class Notes

Topics Covered:

  • Domain of a rational function: Interval notation

  • Solving a quadratic inequality written in factored form

  • Solving a quadratic inequality

  • Polynomial long division: Problem type 1

  • Polynomial long division: Problem type 2

  • Polynomial long division: Problem type 3

  • Synthetic division

  • Using the remainder theorem to evaluate a polynomial

  • The Factor Theorem

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

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

  • Finding all possible rational zeros using the rational zeros theorem: Problem type 1

  • Finding all possible rational zeros using the rational zeros theorem: Problem type 2

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

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