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Transparency 6. Click the mouse button or press the Space Bar to display the answers. Determine whether is a perfect square trinomial. If so, factor it. Yes,. 1. Is the first term a perfect square?. 2. Is the last term a perfect square?. Yes,. Yes,. 3. Is the middle term equal to ?.

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  1. Transparency 6 Click the mouse button or press the Space Bar to display the answers.

  2. Determine whether is a perfect square trinomial. If so, factor it. Yes, 1. Is the first term a perfect square? 2. Is the last term a perfect square? Yes, Yes, 3. Is the middle term equal to ? Answer: is a perfect square trinomial. Write as Factor using the pattern. Example 6-1a

  3. Determine whether is a perfect square trinomial. If so, factor it. Yes, 1. Is the first term a perfect square? 2. Is the last term a perfect square? Yes, No, 3. Is the middle term equal to ? Answer: is not a perfect square trinomial. Example 6-1a

  4. Determine whether each trinomial is a perfect square trinomial. If so, factor it. a. b. Answer: yes; Example 6-1b Answer: not a perfect square trinomial

  5. Factor . 6 is the GCF. and Factor the difference of squares. Answer: Example 6-2a First check for a GCF. Then, since the polynomial has two terms, check for the difference of squares.

  6. Factor . This polynomial has three terms that have a GCF of 1. While the first term is a perfect square,the last term is not. Therefore, this is not a perfect square trinomial. This trinomial is in theform Are there two numbers m and n whose product is and whose sum is 8? Yes, the product of 20 and –12 is –240 and their sum is 8. Example 6-2a

  7. Write the pattern. and Group terms with common factors. Factor out the GCF from each grouping. Answer: is thecommon factor. Example 6-2a

  8. Factor each polynomial. a. b. Answer: Answer: Example 6-2b

  9. Solve Original equation Recognizeas a perfect square trinomial. Factor the perfect square trinomial. Set the repeated factor equal to zero. Solve for x. Answer: Thus, the solution set is Check this solution in the original equation. Example 6-3a

  10. Solve Answer: Example 6-3b

  11. Solve . Original equation Square Root Property Add 7 to each side. Separate into two equations. or Simplify. Answer: The solution set is Check each solution in the original equation. Example 6-4a

  12. Solve . Original equation Recognize perfect square trinomial. Factor perfect square trinomial. Square Root Property Subtract 6 from each side. Example 6-4a

  13. Answer: The solution set is Check this solution in the original equation. Separate into two equations. or Simplify. Example 6-4a

  14. Solve . Original equation Square Root Property Subtract 9 from each side. Answer: Since 8 is not a perfect square, the solution set is Using a calculator, the approximate solutions are or about –6.17 and or about –11.83. Example 6-4a

  15. Check You can check your answer using a graphing calculator. Graph and Using the INTERSECT feature of your graphing calculator, find where The check of –6.17 as one of the approximate solutions is shown. Example 6-4a

  16. Solve each equation. Check your solutions. a. b c. Answer: Answer: Answer: Example 6-4b

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