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.