1 / 18

Multiplying Polynomials

Multiplying Polynomials. Applying Generic Rectangles. Creating a Generic Rectangle. WARNING: Students must have a basic understanding of Algebra Tiles to complete this tutorial. The Concept. Let’s start by using algebra tiles to multiply: (2x + 1)(x + 3). The Concept.

kioko
Télécharger la présentation

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. Multiplying Polynomials Applying Generic Rectangles

  2. Creating a Generic Rectangle WARNING: Students must have a basic understanding of Algebra Tiles to complete this tutorial.

  3. The Concept Let’s start by using algebra tiles to multiply: (2x + 1)(x + 3)

  4. The Concept Let’s start by using algebra tiles to multiply: (2x + 1) (x + 3)

  5. The Concept Let’s start by using algebra tiles to multiply: (2x + 1) (x + 3)

  6. The Concept (2x + 1) Let’s start by using algebra tiles to multiply: (2x + 1) (x + 3) (x + 3)

  7. The Concept (2x + 1) Draw in lines at every intersection to complete a rectangle: (2x + 1) (x + 3) (x + 3)

  8. The Concept (2x + 1) Remove the original tiles, and the answer remains: x (x + 3) x x 1 x x 1 x x 1

  9. The Concept (2x + 1) (2x + 1) (x + 3) x (x + 3) x x 1 x x 1 x x 1

  10. Using a Generic Rectangle Let’s do a similar example: (7x + 15)(2x + 5) For this problem using tiles would be tedious and time consuming

  11. Using a Generic Rectangle Since each parentheses has 2 terms, setup a 2 X 2 rectangle: (7x + 15)(2x + 5)

  12. Using a Generic Rectangle (7x + 15) Label the sides with each Polynomial (7x + 15) (2x + 5) (2x + 5)

  13. Using a Generic Rectangle (7x + 15) Multiply each row with each column (7x + 15) (2x + 5) (2x + 5)

  14. Using a Generic Rectangle (7x + 15) Combine like terms and write answer (7x + 15) (2x + 5) = 14x2 + 65x + 75 (2x + 5)

  15. Final Example Let’s Multiply: (3x2 – 2x + 1)(x + 3) Since there are 3 terms and 2 terms in the Parentheses, make a 3X2 rectangle

  16. Final Example (3x2 – 2x + 1) Label the sides (3x2 – 2x + 1) (x + 3) (x + 3)

  17. Final Example (3x2 – 2x + 1) Multiply each row with each column (3x2 – 2x + 1) (x + 3) 3 -2 (x + 3) 9 -6

  18. Final Example (3x2 – 2x + 1) Combine like terms and write answer (3x2 – 2x + 1) (x + 3) = 3x3 + 7x2 - 5x + 3 3 -2 (x + 3) 9 -6

More Related