Polynomial Functions

3.1 Graphing Polynomial Functions Using Transformations

3.2 End Behavior of Polynomial Functions Given a Graph or Equation

3.4 Real and Complex Roots

Explanation:

  • Fundamental Theorem of Algebra

    • Complex conjugates

    • Rational Root Theorem: list the possible rational roots (a type of real roots)

    • Descartes' Rules of Signs: number of real positive and real negative roots

Practice Problems:


3.5 Positive/Negative Intervals of Polynomials and Multiplicity

3.6 Increasing and Decreasing Intervals and Extrema

3.7 Average Rate of Change

3.8 Symmetry of Functions

3.9 Polynomial Division

  • Practice Problems

3.10 Factor Theorem and Remainder Theorem