1 / 9

Warm up

Warm up. Factor completely. Factoring by Grouping. SWBAT: Given 4 terms completely factor the given polynomial SWBAT: Factor a trinomial using grouping. To Factor using grouping you must have EXACTLY 4 terms. Ex. 1: 5x + 15 + xy + 3y. Step 1: Factor GCF. Done.

helenpeters
Télécharger la présentation

Warm up

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. Warm up Factor completely

  2. Factoring by Grouping SWBAT: Given 4 terms completely factor the given polynomial SWBAT: Factor a trinomial using grouping

  3. To Factor using grouping you must have EXACTLY 4 terms.

  4. Ex. 1: 5x + 15 + xy + 3y Step 1: Factor GCF Done Step 2: Break the terms into 2 parts – group 1st 2 together and last 2 together (5x + 15) (xy + 3y) 5(x + 3) + y(x + 3) Step 3: factor each part separately Hint: What’s inside the parenthesis should match. Step 4: Write your answer (x + 3)(5 + y) Step 5: Check your answer – multiply it out. 5x + 15 + xy + 3y

  5. Ex 2: 2xy - 4ya + 10x – 20a 2(xy – 2ya + 5x – 10a) Step1: GCF Step 2: 2 groups Step 3: Factor each group Step 4: Write answer Step 5: Check answer 2(xy – 2ya) (+5x – 10a) 2[y(x – 2a) +5(x – 2a)] 2(x – 2a) (y + 5) 2xy – 4ya + 20a – 10x

  6. Ex3: 18x3 + 6x2 +3x+1 • St1 – done • St2 (18x3 + 6x2) (3x + 1) • st3 6x2 (3x + 1) 1 (3x+1) • St4 (6x2 + 1)(3x+1) 6x2/6x2 = 1 If they have no common factor you must put 1

  7. Ex 4: 4x2 – 8xy – 3x + 6y (4x2 – 8xy) ( – 3x + 6y) Step 2: Step 3: Step 4: Step 5: Hint: if the 3rdterm is negative you must factor out a negative. 4x (x – 2y) -3(x – 2y) (x – 2y) (4x – 3) 4x2 – 8xy – 3x + 6y

  8. You try this one.Ex 5: 5x2 – 20x2y + 5a – 20ay Remember to factor out anything that all terms have in common! 5(x2 – 4x2y + a – 4ay) Answer: 5(x2 + a) (1 – 4y)

  9. Homework: Factoring ws #6 Factoring by Grouping

More Related