Factoring By Grouping Chapter 5 Factoring By Grouping

Factoring By Grouping Chapter 5

Factoring By Grouping Requires 5 easy steps! Step 1 : Look for the greatest common factor or in simple terms, what each term has in common. 8 r 3 − 64 r 2 + r − 8 In this case all 4 terms do not have a greatest common factor. Step 2 : Create smaller groups. This can be done by grouping the first 2 terms and then grouping the last 2 terms. (8 r 3 − 64 r 2) + (r − 8) Step 3 : Factor out the greatest common factor or like terms from the grouping. In this instance, the first grouping has an 8 and r 2 in common. 8 r 2(r - 8) + (r – 8 ) Remember that even though there is nothing on the outside of parenthesis on the second grouping, there is always a 1. 8 r 2(r - 8) + 1(r – 8 )

Steps Continued… 8 r 2(r - 8) + (r – 8 ) Step 4 : Factor out like Groupings. If you notice (r – 8) is alike so you can factor one of those out. (r-8)(8 r 2 + 1) – Remember the 1 is always on the outside of a grouping even though it is not written. Step 5: Deterimine if there any other factors that can be factored out. In this problem, there is nothing further to do, so your answer is : (r-8)(8 r 2 + 1) or (8 r 2 + 1)(r – 8)

Example Solve this problem by Factoring 3 a 3 – 6 a 2 + 2 a – 4 Your final answer is : (a – 2) (3 a 2 + 2) (3 a 3 – 6 a 2) + (2 a – 4) 3 a 2(a - 2) + 2(a – 2) (3 a 2 + 2)

Tutorial Video – Factoring by Grouping https: //www. youtube. com/watch? annotation_id=annotation_1740409739&feature=iv&src_vid=-hi. GJw. MNNs. M&v=lsn-gw. Wh_hw

Example 2 : 12 x 2 u + 3 x 2 v + 28 yu + 7 yv Here is fun video that provides a great review of previous chapters and the current chapter! Enjoy! (12 x 2 u + 3 x 2 v) + (28 yu + 7 yv) 3 x 2(4 u + v) + 7 y(4 u + v)(3 x 2 + 7 y) Click the arrow for next slide

Create your own problem! Here is your chance to get creative! Please follow the instructions below! Create your own Factoring By Grouping math problem! 1. Create your own problem. 2. Solve it yourself. 3. Post the original problem to Twitter using #Factor. By. Grouping. Mr. B 4. Please do not include the answer to the problem, just the original creation! See the example to the right! Once you post your math problem on Twitter, please grab 3 other math problems from the page #Factor. By. Grouping. Mr. B and solve them! These three problems should be added to the back of your assignment. All problems will be review in class!

Reflection Factoring By Grouping Remember the 5 Steps of Factoring: Step 1: Look for the greatest common factor. Step 2: Create smaller groups. Step 3: Factor out the greatest common factor from the smaller groups. Step 4: Factor out like groupings. Step 5: Determine if there any other factors that can be factored out. To Do List Create your own problem and post it to Twitter. Grab 3 other student’s problems from Twitter and solve on the back of your assignment. Complete your assignment. Find your assignment under “Student Resources” or click the link below. https: //mrbishopsclass. files. wordpress. com/2016/ 05/factoring-by-grouping-chapter-5 assignment. pdf

References Example Problem [Photograph]. (n. d. ). Retrieved from http: //acemymathcourse. com/factoring-bygrouping/ Factoring By Grouping Steps. (n. d. ). Retrieved from http: //www. mesacc. edu/~scotz 47781/mat 120/notes/factoring/grouping. html Kuta Software. (n. d. ). Kuta Software – Infinite Algebra 1 Worksheet. Retrieved from http: //cdn. kutasoftware. com/Worksheets/Alg 1/Factoring%20 By%20 Grouping. pdf Math. Help. com. (2016, January 18). Factoring by Grouping. Retrieved from https: //www. youtube. com/watch? annotation_id=annotation_1740409739&feature=iv&src_vid=hi. GJw. MNNs. M&v=lsn-gw. Wh_hw