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Warmups – factor.

Warmups – factor. 1) Write the prime factorization: 224 2) x 2 +19x + 18 3) 49y 2 + 56y + 16 4) 5xy + 15x + 4y + 12. 10-4 Factoring Difference of Squares. Objective: To identify and factor binomials that are the difference of two squares. Standard 11.0. Remember…. Do you remember….

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Warmups – factor.

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  1. Warmups – factor. 1) Write the prime factorization: 224 2) x2 +19x + 18 3) 49y2 + 56y + 16 4) 5xy + 15x + 4y + 12

  2. 10-4 Factoring Difference of Squares Objective: To identify and factor binomials that are the difference of two squares. Standard 11.0

  3. Remember… Do you remember…. So….

  4. Recognizing a Difference of Squares 1st term is a perfect square 2nd term is a perfect square Subtraction Answer… Example 1: Factor.

  5. LTT: IS IT A DIFFERENCE OF SQUARES?If so… factor it. x2 – 4 9x2 – 1 2x2 – 4 2x2 – 8 x2 + y2 x3 – 25 9xy – y2 -16 + x2 -4 – 16x2 x4 – 81 YES -------------- YES -------------- NO √2 YES 2(x2 – 4) - NO Adding NO x3 NO x YES x2 – 16 --- NO -(4 + 16x2) YES √x4 = x2 ---

  6. Example 2 • Factor out the GCF: • Rewrite the polynomial: • Factor the difference of squares inside of the parenthesis: • Don’t forget about the GCF on the outside 

  7. TOO: Factor 25x2 – 121 16x4 – y2 -98 + 2x2 4x2 – 9y2 3x3 – 12x

  8. Factor & List which process(es) you used. • GCF • Grouping • X-Box • Perfect Square Trinomial • Difference of Squares

  9. Factor & List which process(es) you used. • GCF • Grouping • X-Box • Perfect Square • Difference of Squares

  10. Homework • Pg. 584 #22-39 all

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