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

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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

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.

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

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

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

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

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

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