Multiplicity of a Zero

Sick of ads?‚Äč Sign up for MathVids Premium
Taught by mrbrianmclogan
  • Currently 3.0/5 Stars.
7714 views | 1 rating
Meets NCTM Standards:
Lesson Summary:

This lesson discusses the concept of the multiplicity of a zero and how it affects the graph of a polynomial. A zero can have a repeated factor, which means the graph either crosses or touches the x-axis at that point, depending on the exponent. Understanding the multiplicity of zeros is crucial in finding the zeros and graphing any polynomial function. The lesson provides examples of how to graph polynomials with multiple zeros and varying multiplicities.

Lesson Description:

Overview of Multiplicity of a zero

I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.

Questions answered by this video:
  • In the function f(x)=(x-a)^k what are the coordinates of the x-intercept?
  • In f(x)=(x-a)^k What is the behaviour of the graph when (i) k is odd (ii)k is even
  • what does it mean when a zero has a multiplicity?