1 / 20

Algebra 1

Algebra 1. 8.5 Factoring Special Products. Learning Targets. Language Goal: Students will be able to describe perfect squares . Math Goal: Students will be able to factor perfect squares and students will be able to factor the difference of two squares .

mora
Download Presentation

Algebra 1

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 1 8.5 Factoring Special Products

  2. Learning Targets • Language Goal: Students will be able to describe perfect squares. • Math Goal: Students will be able to factor perfect squares and students will be able to factor the difference of two squares. • Essential Question: Why are perfect squares helpful when factoring trinomials?

  3. Warm-up

  4. Perfect Square A trinomial is a perfect square if: - the first and last terms are perfect squares - the middle term is two times one factor from the first term and one factor from the last term. 9x² + 12x + 4 3x 3x2(3x • 2) 2 • 2

  5. Example Type 1: Recognizing and Factoring Perfect-Square Trinomials Determine whether each trinomial is a perfect square. If so, factor. If not, explain. A. x² + 12x + 36 B. 4x² – 12x + 9

  6. Example Type 1: Recognizing and Factoring Perfect-Square Trinomials Determine whether each trinomial is a perfect square. If so, factor. If not, explain. C. x² + 9x + 16 D. x² + 4x + 4

  7. Example Type 1: Recognizing and Factoring Perfect-Square Trinomials Determine whether each trinomial is a perfect square. If so, factor. If not, explain. E. x² – 14x + 49 F. 9x² – 6x + 4

  8. Example Type 1: Recognizing and Factoring Perfect-Square Trinomials Determine whether each trinomial is a perfect square. If so, factor. If not, explain. G. 9x² – 15x + 64 H. 81x² + 90x + 25 I. 36x² – 10x + 14

  9. Example 2: Word Applications A. The park in the center of the Place des Vosges in Paris, France, is in the shape of a square. The area of the park is (25x² + 70x + 49) ft². The side length of the park is in the form cx + d, where c and d are whole numbers. Find an expression in terms of x for the perimeter of the park. Find the perimeter when x = 8 feet.

  10. Example 2: Word Applications B. A company produces square sheets of aluminum each of which has an area of (9x² + 6x + 1) m². The side length of each sheet is in the form cx + d, where c and d are whole numbers. Find an expression in terms of x for the perimeter of a sheet. Find the perimeter when x = 3 m.

  11. Example 2: Word Applications C. A rectangular piece of cloth must be cut to make a tablecloth. The area needed is (16x² - 24x + 9) ft². The dimensions of the cloth are in the form cx + d, where c and d are whole numbers. Find an expression in terms of x for the perimeter of the cloth. Find the perimeter when x = 11 in.

  12. Difference of Two Squares A polynomial is a difference of two squares if: - There are two terms, one subtracted from the other. - Both terms are perfect squares. 4x² – 9 2x • 2x 3 • 3

  13. Difference of Two Squares

  14. Example Type 3: Recognizing and Factoring the Difference of Two Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. A. x² – 81 B. 9p – 16q²

  15. Example Type 3: Recognizing and Factoring the Difference of Two Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. C. x– 7y²D. 1 – 4x²

  16. Example Type 3: Recognizing and Factoring the Difference of Two Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. E. p– 49qF. 16x² – 4y

  17. Example Type 3: Recognizing and Factoring the Difference of Two Squares Determine whether each binomial is a difference of two squares. If so, factor. If not, explain. G. 3p² – 9q H. 100x² – 4y² I. x – 25y

  18. Closure

  19. Lesson Quiz

More Related