1 / 8

Homework for 9-3

Learn how to use special product patterns to multiply polynomials, including the square of a binomial and the sum and difference patterns. Also, discover how polynomials can be used to model gene combinations in dogs.

gordond
Télécharger la présentation

Homework for 9-3

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. Homework for 9-3 p. 572 4, 5, 8, 10, 12, 15, 16, 20, 24, 28, 30, 33, 36, 40, 43, 50, 53

  2. 9-3 Special Products of Polynomials Objective: use special product patterns to multiply polynomials

  3. Square of a Binomial • (a + b)2 = a2 + 2ab + b2 • Because (a + b)2 means (a + b)(a + b) • (a – b)2 = a2 - 2ab + b2 • Because (a – b) means (a – b)(a – b) • NOTE: Don’t make this mistake! • (a + b)2 a2 + b2 and (a – b)2  a2 – b2 !!!!

  4. Use Square of a Binomial Pattern (a + b)2 = a2 + 2ab + b2 • (2x + 5)2 “a” = 2x and “b” = 5 (2x)2 + 2(2x)(5) + (5)2 4x2 + 20x + 25 (a – b)2 = a2 - 2ab + b2 • (3x – y) 2 “a” = 3x and “b” = y (3x)2 - 2(3x)(y) + (y)2 9x2 - 6xy + y2

  5. Sum & Difference Pattern • Multiply: (x + 3)(x – 3) • What happens to the middle term? • (a + b)(a – b) = a2 – b2 • (r + 4)(r – 4) • r2 - 16 • (5x + y)(5x – y) • 25x2 – y2

  6. Mental Math • 20 x 20 = 400 easy….. • 18 x 22 = ? Not so easy….. • But think of it this way: 18 is 2 less than 20 and 22 is 2 more than 20 so that… • 18 x 22 = (20 - 2) x (20 + 2) = 400 – 4 = 396

  7. Canine Genetics • In dogs, the gene E is for erect ears and the gene e is for droopy ears. Any gene combination with an E results in erect ears. The Punnett square shows the possible gene combinations of the offspring and the resulting type of ear. E e E e

  8. What percent of the possible gene combinations of the offspring have droopy ears? 25% Show how you could use a polynomial to model the possible gene combinations of the offspring. One dog = (.5E + .5e) Two dogs with same genes = (.5E + .5e)2 Expanded: .25E2 + .5Ee + .25e2

More Related