1 / 20

Factoring Quadratics: Grouping

This guide explains the method of grouping for factoring quadratics with four or more terms. When terms share a common factor but not all, grouping helps to organize and simplify the factoring process. Learn to identify groups of terms, underline them to keep track, factor each group individually, and remove any common factors to complete the factoring. Clear examples and step-by-step solutions illustrate the process, ensuring you grasp the concept thoroughly. Master quadratic factoring with these structured techniques.

lot
Download Presentation

Factoring Quadratics: Grouping

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. Factoring Quadratics:Grouping

  2. The method of Grouping for factoring is used when the quadratic has 4 or more terms where a group of them share a Common Factor but not all terms share this Common Factor.

  3. (1) Look for the groups of terms that share a Common Factor and group these, if needed. To factor using Grouping:

  4. The terms are already grouped correctly here, as the first two terms have a Common Factor (x) and the last two terms have a different Common Factor (−5). (2) Underline the groups to be factored to help focus on each group separately.

  5. (3) Factor each underlined group.

  6. (4) Remove the bracketed Common Factor to complete the factoring.

  7. The factoring is complete.

  8. Example 1: Factor fully using Grouping.

  9. Solution: (1) Look for the groups of terms that share a Common Factor and group these, if needed.

  10. Solution: Groups are fine as given. (2) Underline the groups to be factored to help focus on each group separately.

  11. Solution: (3) Factor each underlined group.

  12. Solution: (4) Remove the bracketed Common Factor to complete the factoring.

  13. Solution: The factoring is complete.

  14. Now try part b).

  15. Solution: • Look for the groups of terms that share a Common Factor and group these, if needed. • Underline the groups to be factored to help focus on each group separately. • Factor each underlined group. • Remove the bracketed Common Factor to complete the factoring.

  16. Solution: Here’s a solution.

  17. It’s time to try part c).

  18. Solution: Follow the steps outlined in the previous slides, noting there is a Common Factor that should be removed first.

  19. Solution: Here’s a solution.

  20. Solution: Here’s an alternate solution, if the common factor is NOT removed first.

More Related