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Quadratics – Completing the Square

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

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Quadratics – Completing the Square

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

  2. 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.

  3. Complete a Perfect Square • The coefficient of the squared term must be 1. In the problems that follow, it will always be 1. • 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.

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

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

  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

  9. END OF PRESENTATION

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