Factoring Perfect Square Trinomial A Perfect Square Trinomial

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

• 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 Note the pattern for the signs: Factored

• Here is how to identify a perfect square trinomial: 1. Both first and last terms are perfect squares Note that there is always a positive sign on both of these terms. 2. The middle term is given by If these two conditions are met, then the expression is a perfect square trinomial.

• Example 1 Factor: Determine if the trinomial is a perfect square trinomial. 1. Are both first and last terms perfect squares? 2. Is the middle term

• Since the trinomial is a perfect square, factor it using the pattern: 1. First term a: 2. Last term b: 3. Sign same as the middle term 4. Squared

• Example 2 Factor: Determine if the trinomial is a perfect square trinomial. 1. Are both first and last terms perfect squares? 2. Is the middle term

• Since the trinomial is a perfect square, factor it using the pattern: 1. First term: 2. Last term 3. Sign same as the middle term 4. Squared

• Example 3 Factor: Determine if the trinomial is a perfect square trinomial. 1. Are both first and last terms perfect squares? 2. Check the middle term:

• Since the trinomial is a perfect square, factor it using the pattern: 1. First term: 2. Last term 3. Sign same as the middle term 4. Squared

• Example 4 Factor: Determine if the trinomial is a perfect square trinomial. 1. Are both first and last terms perfect squares? 2. Check the middle term: This is not a perfect square trinomial. If it can be factored, another method will have to be used. No

• Example 5 Factor: Determine if the trinomial is a perfect square trinomial. 1. 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.

• 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.

• Example 7 Factor: Determine if the trinomial is a perfect square trinomial. 1. Are both first and last terms perfect squares? 2. Check the middle term:

• Since the trinomial is a perfect square, factor it using the pattern: 1. First term: 2. Last term 3. Sign same as the middle term 4. Squared