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4-4 Factoring Quadratic Expressions

              BY: TUCKER, TANNER, TRISTON
Factoring a Perfect Square Trinomial

 64x2 - 16x + 1        Is the first term a perfect square?
                        Is the last term a perfect square?
                        Is the middle term twice the product of 8 and 1?   YES

 (8x)2        1                (8x - 1)2
      Check your Self                                  FOIL

                         (8x-1) (8x-1)

                  (8x)2 - 8x - 8x +(-1)-1
                        64x2 -16x +1
Factoring a Difference of Two Squares

 25x2 - 49
                                Find your perfect squares


 25x2-49 = (5x)2 - 72

              = (5x + 7) (5x – 7)

              = 25x2 - 49
Got It?

 Try Got It #5.
       ‱ 16x2 - 81
Work on

 Page 221 #50 - 58

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4 4 factoring quadratic expressions part 2

  • 1. 4-4 Factoring Quadratic Expressions BY: TUCKER, TANNER, TRISTON
  • 2. Factoring a Perfect Square Trinomial  64x2 - 16x + 1 Is the first term a perfect square? Is the last term a perfect square? Is the middle term twice the product of 8 and 1? YES (8x)2 1 (8x - 1)2 Check your Self FOIL (8x-1) (8x-1) (8x)2 - 8x - 8x +(-1)-1 64x2 -16x +1
  • 3. Factoring a Difference of Two Squares  25x2 - 49 Find your perfect squares  25x2-49 = (5x)2 - 72 = (5x + 7) (5x – 7) = 25x2 - 49
  • 4. Got It?  Try Got It #5. ‱ 16x2 - 81
  • 5. Work on  Page 221 #50 - 58