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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.

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Factoring - Perfect Square Trinomial

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  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

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