1. Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1: Binomial Squared Perfect Square Trinomial

2. Completing a perfect square trinomial means to take a binomial of the form … … and turn it into a perfect square trinomial. Our goal is to Complete a Perfect Square Trinomial.

3. 1)The coefficient of the squared term must be 1. In the problems that follow, it will always be 1. 2)Multiply the coefficient of the linear term by ½. 4) Add the result of step 3 to the binomial. 3) Square the result of step 2. 5) Factor the perfect square trinomial into a binomial squared. Complete a Perfect Square

4. Example 2: Fill in the blank with a number that will turn the binomial into a perfect square trinomial. Consider the binomial:

5. Multiply the coefficient of the linear term by ½. Square the result. Add the result to the binomial. Factor to show that the trinomial is now a perfect square trinomial

6. Example 3: Fill in the blank with a number that will turn the binomial into a perfect square trinomial. Consider the binomial:

7. Multiply the coefficient of the linear term by ½. Square the result.

8. Add the result to the binomial. Factor to show that the trinomial is now a perfect square trinomial