1 / 6

Multiplying Polynomials

10.3. Multiplying Polynomials. “Two Special Cases”. Special Products:. Square of a binomial. = a 2 +ab+ab+b 2 = a 2 +2ab+b 2. (a+b) 2. =a 2 -ab-ab+b 2 =a 2 -2ab+b 2. (a-b) 2. RULE:. You can do this mentally when you recognize the pattern!. (x+2) 2. (x-6) 2. x 2 + 2x + 2x + 4.

lnasser
Download Presentation

Multiplying Polynomials

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. 10.3 Multiplying Polynomials “Two Special Cases”

  2. Special Products: Square of a binomial = a2+ab+ab+b2 = a2+2ab+b2 (a+b)2 =a2-ab-ab+b2 =a2-2ab+b2 (a-b)2

  3. RULE: You can do this mentally when you recognize the pattern! (x+2)2 (x-6)2 x2 + 2x + 2x + 4 x2-12x+36 x2+4x+4

  4. Product of the sum and difference of two terms: (a+b) (a-b)=a2+ab-ab-b2 =a2-b2 The middle terms cancel out and you end up with the difference of perfect squares. (5x+2) (5x-2)= 25x2-4

  5. MODEL: (a+b)(a+b) a + b a2 ab a+b ab b2

  6. PRACTICE: (x+2) (x-2) x2 - 4 (b+6)2 b2 + 12b + 36 (y-4)2 y2 - 8y + 16

More Related