Polynomial Functions


The first half of this chapter develops the concept of quadratic functions, including their features and graphs, and applies them to real-life situations and models. The second half of the chapter extends these concepts to higher-degree polynomials, including synthetic division and factoring.

What you can expect to learn

After completing these activities you should be able to:

  1. Identify key features of the graphs of quadratic functions.
  2. Convert a quadratic function to vertex form and use this form to identify key features of its graph.
  3. Identify the y-intercepts and zeros of quadratic functions.
  4. Divide polynomials using synthetic or long division.
  5. Factor a polynomial completely.
  6. Solve a polynomial equation.
  7. Describe the end behavior and find all the real zeros of a polynomial function.
Activity List