Quadratics Completing the Square A Perfect Square Trinomial

• Our goal is to Complete a Perfect Square Trinomial. • Completing a

Complete a Perfect Square 1) The coefficient of the squared term must be 1.

• Example 2: Consider the binomial: Fill in the blank with a number

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

• Example 3: Consider the binomial: Fill in the blank with a number

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

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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

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

Complete a Perfect Square 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. 3) Square the result of step 2. 4) Add the result of step 3 to the binomial. 5) Factor the perfect square trinomial into a binomial squared.

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

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

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