1 / 19

Factor By Grouping: A Practical Polynomial Factoring Method

Understand Factor By Grouping method for polynomial factoring, learn steps, practice examples, and differentiate from GCF. Improve math skills effortlessly.

randre
Download Presentation

Factor By Grouping: A Practical Polynomial Factoring Method

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. Review. . . . Monomial Binomial Trinomial GCF

  2. Definition Monomial A polynomial with exactly one term

  3. Review. . . . A polynomial with exactly two terms Binomial

  4. Review. . . . A polynomial with exactly three terms Trinomial

  5. Review. . . . The largest monomial that evenly divides into each term of the polynomial GCF

  6. Together We Belong! Sort all objects into 3 groups. Each group does NOT have to have the same number of objects!

  7. Items to Group

  8. Possible Answer School Supplies Items You Wear Round Objects

  9. Before What is Factor By Grouping? When do you use Factor by Grouping? How is Factor by Grouping different and similar to Great Common Factor?

  10. 3x2 + xy -12x -4y - Is there a GCF of this polynomial? NOPE!!! • What if we break this polynomial into 2 groups of terms?

  11. 3x2 + xy -12x -4y Group 1: 3x2 + xy GCF: X Rewrite: x (3x + y) What do you notice? Group 2: -12x – 4y GCF: -4 Rewrite: -4 (3x+y)

  12. They’re the same!! x (3x + y) -4 (3x+y) (3x+y) Now we have 2 terms with a GCF!! (3x+y)(x-4) Final Answer!

  13. Factor By Grouping The steps we just completed, are the steps to the process called Factor by Grouping. What were those steps again?

  14. Factor By Grouping Step 1: Group the 1st two terms and 2nd two terms together. 3x2 + xy -12x -4y Group 1! Group 2!

  15. Factor By Grouping Step 2: Factor out the GCF of each group! 3x2 + xy = X (3x + y) -12x - 4y = -4 (3x + y)

  16. Factor By Grouping Step 3: Factor out the new GCF and rewrite the polynomial! X (3x + y) -4 (3x + y) (3x + y) (X - 4)

  17. You try it!! Factor the following polynomial using the Factor by Grouping method: 2x2 + 10x + 3xy + 15y

  18. 2x2 + 10x + 3xy + 15y Group 1: 2x2 + 10x GCF: 2x Rewrite: 2x (x+5) Group 2: 3xy + 15y GCF: 3y Rewrite: 3y (x+5) Answer: (x+5)(2x + 3y)

  19. Did you get it?After What are the steps to Factor By Grouping? When do you use Factor by Grouping? How is Factor by Grouping different and similar to Great Common Factor?

More Related