1 / 10

6.2B Factors and Zeros of a Polynomial Function

6.2B Factors and Zeros of a Polynomial Function. Finding Zeros. When a Polynomial is in Factor Form, it is easy to find the zeros, or where the graph crosses the x-axis. EX: Find the Zeros of y=(x+4)(x – 3) Graph the function, what do you notice?. Find the Zeros.

maddox
Download Presentation

6.2B Factors and Zeros of a Polynomial Function

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. 6.2B Factors and Zeros of a Polynomial Function

  2. Finding Zeros When a Polynomial is in Factor Form, it is easy to find the zeros, or where the graph crosses the x-axis. EX: Find the Zeros of y=(x+4)(x – 3) Graph the function, what do you notice?

  3. Find the Zeros Find the Zeros of the Polynomial Function. • y = (x – 2)(x + 1)(x + 3) • y = (x – 7)(x – 5)(x – 3)

  4. Factor Theorem The Expression x – a is a linear factor of a polynomial if and only if the value a is a zero of the related polynomial function.

  5. Writing a Polynomial Function http://www.tubechop.com/watch/1577818 Give the zeros -2, 2, and 3, write a polynomial function.

  6. Writing a Polynomial Function Give the zeros 5, -1, and -2, write a polynomial function. Then classify it by degree and number of terms.

  7. Writing a Polynomial Function Give the zeros 0, -4, and -1, write a polynomial function. Then classify it by degree and number of terms.

  8. Repeated Zeros A repeated zero is called a MULITIPLE ZERO. A multiple zero has a MULTIPLICITY equal to the number of times the zero repeats.

  9. Find the Multiplicity of a Zero Find any multiple zeros and their multiplicity y = x4 + 6x3 + 8x2

  10. Find the Multiplicity of a Zero Find any multiple zeros and their multiplicity • y = (x – 2)(x + 1)(x + 1)2 • y = x3 – 4x2 + 4x

More Related