1 / 9

5.4 – Factor and Solve Polynomial Functions

Learn how to factor and solve polynomial functions using various methods, including factoring by grouping. Explore examples to understand the process and find real number solutions.

gpurvis
Download Presentation

5.4 – Factor and Solve Polynomial Functions

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. 5.4 – Factor and Solve Polynomial Functions

  2. 5.4 – Factor and Solve Polynomial Functions

  3. 5.4 – Factor and Solve Polynomial Functions Example 1: Factor the polynomial completely. x3 + 2x2 – 15x 2y5 – 18y3 4z4 – 16z3 + 16z2

  4. 5.4 – Factor and Solve Polynomial Functions

  5. 5.4 – Factor and Solve Polynomial Functions Example 2: Factor the polynomial completely. a. x3 + 64 b. 16z5 – 250z2

  6. 5.4 – Factor and Solve Polynomial Functions For some polynomials, you can factor by grouping pairs of terms that have a common monomial factor. The pattern for factoring by grouping is shown below: ra + rb + sa + sb = r(a+b) + s(a+b)= (r + s)(a + b)

  7. 5.4 – Factor and Solve Polynomial Functions Example 3: Factor the polynomial x3 – 3x2 – 16x + 48

  8. 5.4 – Factor and Solve Polynomial Functions Example 4: Factor completely: 16x4 – 81 2p8 + 10p5 + 12p2

  9. 5.4 – Factor and Solve Polynomial Functions Example 5: What are the real number solutions of the equation 3x5 + 15x = 18x3?

More Related