1 / 15

Factoring - Perfect Square Trinomial

Binomial Squared. Perfect Square Trinomial. Factoring - Perfect Square Trinomial. A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial.

sanderst
Download Presentation

Factoring - Perfect Square Trinomial

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. Binomial Squared Perfect Square Trinomial Factoring - Perfect Square Trinomial • A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial.

  2. Our goal now is to start with a perfect square trinomial and factor it into a binomial squared. Here are the patterns. Perfect Square Trinomial Factored Note the pattern for the signs:

  3. The middle term is given by • Here is how to identify a perfect square trinomial: Both first and last terms are perfect squares Note that there is always a positive sign on both of these terms. If these two conditions are met, then the expression is a perfect square trinomial.

  4. Is the middle term • Example 1 Factor: Determine if the trinomial is a perfect square trinomial. Are both first and last terms perfect squares?

  5. Since the trinomial is a perfect square, factor it using the pattern: First term a: Last term b: Sign same as the middle term Squared

  6. Is the middle term • Example 2 Factor: Determine if the trinomial is a perfect square trinomial. Are both first and last terms perfect squares?

  7. Since the trinomial is a perfect square, factor it using the pattern: First term: Last term Sign same as the middle term Squared

  8. Example 3 Factor: Determine if the trinomial is a perfect square trinomial. Are both first and last terms perfect squares? Check the middle term:

  9. Since the trinomial is a perfect square, factor it using the pattern: First term: Last term Sign same as the middle term Squared

  10. Example 4 Factor: Determine if the trinomial is a perfect square trinomial. Are both first and last terms perfect squares? No Check the middle term: This is not a perfect square trinomial. If it can be factored, another method will have to be used.

  11. Example 5 Factor: Determine if the trinomial is a perfect square trinomial. Are both first and last terms perfect squares? No This is not a perfect square trinomial. If it can be factored, another method will have to be used.

  12. Example 6 Factor: Determine if the trinomial is a perfect square trinomial. This is not a perfect square trinomial since the last term has a negative sign. Perfect square trinomials always have a positive sign for the last term.

  13. Example 7 Factor: Determine if the trinomial is a perfect square trinomial. Are both first and last terms perfect squares? Check the middle term:

  14. Since the trinomial is a perfect square, factor it using the pattern: First term: Last term Sign same as the middle term Squared

  15. END OF PRESENTATION Click to rerun the slideshow.

More Related