Education Technology

Precalculus: Multiplicity of Zeros of Functions

by Texas Instruments

Objectives

  • Students will determine the multiplicity of zeros of a polynomial function when given its graph or its equation in factored form.
  • Students will write an equation for a polynomial function when given information about its zeros and the multiplicity of the zeros.
  • Students will write an equation for a polynomial function when given its graph.

Vocabulary

  • degree of a polynomial
  • end behavior
  • multiple zeros
  • multiplicity

About the Lesson

In this lesson, students utilize graphs and equations of five polynomial functions to determine the zeros of these five functions and whether the functions cross the x-axis or just touch the x-axis at the zeros.

*Note: This activity contains an optional AP Practice Questions document for those students preparing for the AP Precalculus Exam.