1 / 12

Factoring - Difference of Squares

Factoring - Difference of Squares. What is a Perfect Square. What numbers are Perfect Squares?. Squares. Perfect Squares. 1 4 9 16 25 36 49 64 81 100. Factoring: Difference of Squares. Count the number of terms. Is it a binomial? Is the first term a perfect square?

marcia-wade
Download Presentation

Factoring - Difference of Squares

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. Factoring - Difference of Squares

  2. What is a Perfect Square

  3. What numbers are Perfect Squares? Squares Perfect Squares 1 4 9 16 25 36 49 64 81 100

  4. Factoring: Difference of Squares • Count the number of terms. Is it a binomial? • Is the first term a perfect square? • Is the last term a perfect square? • Is it, or could it be, a subtraction of two perfect squares? x2 – 9 = (x + 3)(x – 3) • The sum of squares will not factor a2+b2

  5. Using FOIL we find the product of two binomials.

  6. Rewrite the polynomial as the product of a sum and a difference.

  7. Conditions for Difference of Squares • Must be a binomial with subtraction. • First term must be a perfect square. (x)(x) = x2 • Second term must be a perfect square (6)(6) = 36

  8. Check for GCF. Sometimes it is necessary to remove the GCF before it can be factored more completely.

  9. Removing a GCF of -1. In some cases removing a GCF of negative one will result in the difference of squares.

  10. Difference of Squares You Try

  11. Factoring - Difference of Squares

More Related