1 / 25

D.O.T.S.

D.O.T.S. D ifference O f T wo S quares. Perfect Squares. Difference means subtract. x 2. 9. 9x 2. So, examples of DOTS:. y 2. 16. 25y 2. a 2. 49. 81x 2 y 2. x 2 – 16. or 4a 2 – 25b 2. 4x 4 y 6. 100. b 6. D.O.T.S. D ifference O f T wo S quares.

stian
Download Presentation

D.O.T.S.

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. D.O.T.S. DifferenceOfTwoSquares Perfect Squares Difference means subtract x2 9 9x2 So, examples of DOTS: y2 16 25y2 a2 49 81x2y2 x2 – 16 or 4a2 – 25b2 4x4y6 100 b6

  2. D.O.T.S. DifferenceOfTwoSquares DOTS always factors the same way. (Square root of the first + square root of the last) times (Square root of the first – square root of the last) Example: x2 – 16 = (x 4) (x – 4) +

  3. D.O.T.S. DifferenceOfTwoSquares 4a2 – 25b2 = (2a + 5b) (2a – 5b) b2 – 49 = (b + 7) (b – 7) (3xy – 8b3) 9x2y2 – 64b6 = (3xy + 8b3)

  4. D.O.T.S. FLASH CARDS Is it DOTS? x2 – y2 D

  5. D.O.T.S. FLASH CARDS Is it DOTS? a2 – 9 D

  6. D.O.T.S. FLASH CARDS Is it DOTS? 6m2 – 81 D Why not? 6 IS NOT A PERFECT SQUARE!

  7. D.O.T.S. FLASH CARDS Is it DOTS? 4b2 + 25 D Why not? THIS IS A SUM OF 2 SQUARES.

  8. D.O.T.S. FLASH CARDS Is it DOTS? 49b2 – 100c4 D

  9. ? P.S.T. Perfect Square Trinomial How to identify: ☺1st & last term must be perfect squares YES! x2 + 6x + 9 ☺Square root of the first ☺Square root of the last x 3x 3 ☺Multiply them ☺Double the result ☺Is it the same as the middle term?(disregard sign)

  10. ? P.S.T. Perfect Square Trinomial How to identify: ☺1st & last term must be perfect squares x2 + 6x + 9 THIS ☺Square root of the first ☺Square root of the last x 3x 3 IS ☺Multiply them A PST ☺Double the result ☺Is it the same as the middle term?(disregard sign)

  11. P.S.T. FLASH CARDS Is it PST? x2 – 10x + 25 U BETCHA

  12. P.S.T. FLASH CARDS Is it PST? x2 – 10x – 25 NO WAY DO YOU KNOW WHY?

  13. P.S.T. FLASH CARDS Is it PST? x2 + 20x + 40 NO WAY DO YOU KNOW WHY?

  14. P.S.T. FLASH CARDS Is it PST? 9m2 + 42m + 49 U BETCHA

  15. P.S.T. FLASH CARDS Is it PST? x2 + 16xy + 64y2 U BETCHA

  16. P.S.T. FLASH CARDS What would make this a PST? ±12x x2 _____ + 36

  17. P.S.T. FLASH CARDS What would make this a PST? ±36xy 4x2 _______ + 81y2

  18. P.S.T. FLASH CARDS What would make this a PST? + 9 x2 – 6x ____

  19. P.S.T. Perfect Square Trinomial How to factor x2 + 6x + 9 Square root of the first (x + 3) Sign of the second term 2 Square root of the last Quantity squared

  20. P.S.T. Perfect Square Trinomial How to factor 4m2 – 20m + 25 Square root of the first (2m – 5) Sign of the second term 2 Square root of the last Quantity squared

  21. FLASH CARDS Factoring Practice RECALL STEPS! 5x2 + 10xy 1. CMF BINOMIAL? 2. DOTS 5x(x + 2y) TRINOMIAL 3. PST GUESS

  22. FLASH CARDS Factoring Practice RECALL STEPS! x2 – 9y2 1. CMF BINOMIAL? 2. DOTS (x + 3y)(x – 3y) TRINOMIAL 3. PST GUESS

  23. FLASH CARDS Factoring Practice RECALL STEPS! 4x2 – 28x + 49 1. CMF BINOMIAL? 2. DOTS (2x – 7)2 TRINOMIAL 3. PST GUESS

  24. FLASH CARDS Factoring Practice RECALL STEPS! a2 – 2a – 15 1. CMF BINOMIAL? 2. DOTS (a – 5)(a + 3) TRINOMIAL 3. PST GUESS

  25. FLASH CARDS Solving Equations 2x3 + 8x2 – 42x = 0 Set equal to zero: Already is! 2x(x2 + 4x – 21) = 0 Factor left side: 2x(x + 7)(x – 3) = 0 More Factoring?? Factors = to 0: 2x= 0 or x + 7 = 0 or x – 3 = 0 Solve equations: x= 0 or x = -7 or x = 3

More Related