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Aim: How can we make sure we have factored completely?

Aim: How can we make sure we have factored completely?. Homework# 19 : On homework pack, do Second page: 24, 25 Third page: 7, 12, 17, 18, 19 Do Now : Factor completely. 24x 2 – 6. 6. Factor completely. 24x 2 – 6 GCF? Pull out GCF! (4x 2 - 1) Trinomial or DOTS? DOTS

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Aim: How can we make sure we have factored completely?

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  1. Aim: How can we make sure we have factored completely? Homework# 19: On homework pack, do Second page: 24, 25 Third page: 7, 12, 17, 18, 19 Do Now: Factor completely. 24x2 – 6

  2. 6 Factor completely. 24x2 – 6 GCF? Pull out GCF! (4x2- 1) Trinomial or DOTS? DOTS 6(2x – 1) (2x + 1) Don’t forget to bring down the GCF! 6

  3. When you are done… Factor completely 2. 4x2 -16x + 16 Factor completely 3. 100x2 – 4 4. 2x2 – 16x + 32 5. 5x2 + 10x + 5 Challenge! What is the area of the orange section, expressed in factored form? Practice! 1. Describe and correct the error made in factoring. 9x2 - 49=(9x + 7)(9x – 7)

  4. 1. Describe and correct the error made in factoring.9x2 – 49 = (9x + 7)(9x – 7) The square root of 9x2 is 3x. The factorization of 9x2 – 49 = (3x -7)(3x + 7)

  5. Factor completely2. 4x2 -16x + 16 GCF: 4 4(x2 -4x + 4) Trinomial or Dots? Trinomial!

  6. Factor completely2. 4x2 -16x + 16 4(x2 - 4x + 4) Big X X 4 -2 -2 -4

  7. Factor completely2. 4x2 -16x + 16 4(x2 - 4x + 4) Double bubble! (x – 2)(x – 2) Don’t forget to bring down the GCF! 4

  8. 3. 100x2 – 4 • GCF? • GCF: 4 • Pull out GCF! • 4(25x2– 1) • DOTS or Trinomial? • DOTS!

  9. 3. 100x2 – 4 4(25x2– 1) Double Bubble! 4(5x -1)(5x + 1)

  10. 4. 2x2– 16x + 32 • GCF? • GCF: 2 • Pull out GCF! • 2(x2– 8x + 16) • DOTS or Trinomial? • Trinomial!

  11. Factor completely2(x2 – 8 + 16) • 2(x2 – 8 + 16) Big X X 16 -4 -4 -8

  12. 2x2 – 16x + 32 2(x2– 8x + 16) Double Bubble! 2(x – 4)(x – 4)

  13. 5. 5x2 + 10x + 5 • GCF? • GCF: 5 • Pull out GCF! • 5(x2 + 2x + 1) • DOTS or Trinomial? • Trinomial!

  14. Factor completely5. 5x2 + 10x + 5 • 5(x2 + 2x + 1) Big X X 1 1 1 2

  15. 5. 5x2 + 10x + 5 5(x2 + 2x + 1) Double Bubble! 5(x + 1)(x + 1)

  16. Challenge Question!What is the area of the orange section, expressed in factored form? What is the area of square? Length x width OR (side)2 What is the area of the big square? Area = a x a = a2 What is the area of the small square? b x b = b2

  17. Challenge Question!What is the area of the orange section, expressed in factored form? What is the area of the orange section? (Area of big square) – (area of small square) a2 - b2 What is the area of the orange section, expressed in factored form? a2 - b2

  18. a2 - b2 What is this? DOTS! What do we get when we factor this? (a – b) (a + b)

  19. How well did we learn these? You’re going to complete an exit slip. Please factor these problems completely on LOOSE-LEAF paper!! a) 2x2 + 10x - 12 b) n2 + 3n - 54 c) 3x2 – 9x d) 16x2 - 25

  20. Practice, Practice, practice! 1. x2+ 5x + 4 2. 2x2– 8x – 90 3. x2 + 5x – 24 4. 3a3 – 9a2 – 54a 5. wz4+ 2wz3 – 80wz2 6. p2 – 24p + 63 7. 3x2 + 15x + 18

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