1 / 13

Algebra Integrated with Geometry

Algebra Integrated with Geometry. Rebecca Renken, Mathematics Department, Francis Howell High School. Lesson 10-3 Factoring Trinomials ax 2 + bx + c , a > 1 PgUp, PgDn to Navigate X to close out of presentation and return to website. What You'll Learn Why It's Important.

harlan
Download Presentation

Algebra Integrated with Geometry

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. Algebra Integrated with Geometry Rebecca Renken, Mathematics Department, Francis Howell High School Lesson 10-3 Factoring Trinomials ax2 + bx + c , a > 1 PgUp, PgDn to Navigate X to close out of presentation and return to website

  2. What You'll LearnWhy It's Important • To solve problems using guess and check and • To factor quadratic trinomials using the box and diamond method • You can use factoring to solve problems involving shipping and geometry

  3. Example 1 • Factor 17x + 10 + 3x2 • Hint: Before factoring a trinomial it must be written in descending order • You must always look for the greatest common factor first • If the coefficient of the squared term is greater than one that is what tells you to use the box and diamond method

  4. Example 1 SolutionBox and Diamond Method • Factor 17x + 10 + 3x2 3x2 + 17x + 10, no greatest common factor • Draw a box put the first and last term diagonal from each other • Then multiply those two terms together this will give you the top number in your diamond

  5. Example 1 SolutionBox and Diamond Method • 3x2 + 17x + 10 • 3x2∙10 = 30x2 • What can you multiply to get 30 that adds up to 17? 30 The middle term is the bottom of the diamond 17

  6. Example 1 SolutionBox and Diamond Method • 3x2 + 17x + 10 • 3x2∙10 = 30x2 • What can you multiply to get 30 that adds up to 17? • Put those same two terms in your box multiplied by a variable 30 2 15 17

  7. Example 1 SolutionBox and Diamond Method • 3x2 + 17x + 10 • Now factor out the greatest common factor from each row and column • The signs from your diamond apply to the box 30 15x 2 15 2x 17

  8. Example 1 SolutionBox and Diamond Method • 3x2 + 17x + 10 • Now factor out the greatest common factor from each row and column • The signs from your diamond apply to the box x +5 30 15x 3x 2 15 +2 2x 17 The answer is (3x + 2)(x + 5)

  9. Example 2 • Factor 12x2 + x - 6

  10. Example 2 • Factor 12x2 + x – 6 • The answer is (4x + 3)(3x – 2) 3x -2 -72 -8x 4x -8 9 9x 1 +3

  11. Example 3 • Factor 30x2 -23x +3 • The answer is

  12. Example 3 • Factor 30x2 -23x +3 • The answer is (6x - 1)(5x – 3) 5x -3 90 -18x 6x -5 -18 -5x -23 -1

  13. THE END

More Related