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Factoring

Factoring. Session 6: Factoring Special Forms Perfect Square Trinomial (PST) Difference of Two Squares ( DoTS ). Practice Test 2 –NOV. 18 UNIT QUIZ 1 – Nov. 22 GCF, Grouping, DoTS, PST. OBJECTIVE:. Factorize algebraic expression using DoTS.

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Factoring

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  1. Factoring Session 6: Factoring Special Forms Perfect Square Trinomial (PST) Difference of Two Squares (DoTS)

  2. Practice Test 2 –NOV. 18 UNIT QUIZ 1 – Nov. 22 GCF, Grouping, DoTS, PST

  3. OBJECTIVE: • Factorize algebraic expression using DoTS. • Factorize algebraic expression using SoB.

  4. Factoring Special Forms

  5. Perfect Square Trinomials • A2 +2AB + B2 = (A + B)2 • A2 -2AB + B2 = (A - B)2 1st and last terms are perfect squares middle term is 2x the product of the square roots of 1st & last terms

  6. Perfect Square Trinomials • Factor x2 + 10x + 25 x2 + 10x + 25 = (x)2 + 2(5x) + (5)2 = (x + 5)2 • Factor x2 - 12x + 36 x2 - 12x + 36 = (x)2 – 2(6x) + (6)2 = (x - 6)2 A2 +2AB + B2 (A+B)2

  7. Factor the following: • 16x2 – 40xy + 25y2 • 100x2 + 180x + 81 • 3+6b+3b2 • 10n2 +100n+250 • 49n2 −56n+16 • 200m4 + 80m3 + 8m2

  8. The Difference of Two Squares

  9. The Difference of Perfect Squares • Factor x2 - 25 x2 - 25 = x2 – 52 = (x + 5) (x – 5) • Factor 9x2 - 4y2 9x2 - 4y2 = (3x)2 – (2y)2 = (3x + 2y) (3x - 2y)

  10. Factorize the following: k2 – 81 = k2 – 92 (k – 9)(k + 9) Sum and Difference of Two Squares (DoTS) (x – y)(x + y) = x2 – y2

  11. Factorize the following: 9a2 – 4 Sum and Difference of Two Squares (DoTS) (x – y)(x + y) = x2 – y2

  12. Factorize the following: 25a2 – 64 Sum and Difference of Two Squares (DoTS) (x – y)(x + y) = x2 – y2

  13. Factorize the following: x2 – 16 Sum and Difference of Two Squares (DoTS) (x – y)(x + y) = x2 – y2

  14. Factor the following completely • 4m2 −25 • 9x2 − 1 • 98n2 −200 • 400 − 36v2 • 6x2 – 6y2

  15. Seatwork: (Notebook) • NSM Book 2: • page 91, Exercise 3e: • no. 3, letters f – j • no. 4, letter g – i

  16. Seatwork: no. 3 (f – j) • 81 – 16x2 • 64 – 9a2 • –4h2 + 81 • 2x2 – 18 • 3x2 – 147

  17. Seatwork: no. 4 (g – i) • 3x2 – 27y2 • 64a2 – 4b2 • k2 – ¼ h2

  18. SEATWORK (Notebook)

  19. Warm-up: (Notebook) • NSM Book 2: • page 92, Exercise 3e: • no. 7, letters a – j

  20. Factor the following completely 1) 2) 8r3 −64r2 +r −8 3) 63n3 +54n2 −105n−90 4) 42mc + 36md − 7n2c − 6n2d

  21. PRACTICE TEST25 MINS

  22. Evaluate the following by factorization: 79 83 – 69 83 = 83 (79 – 69) = 83 (10) = 830

  23. Evaluate the following by factorization: 1032 – 9 = (103 + 3)(103 – 3) = (106)(100) = 10,600

  24. Evaluate the following by factorization: 592 – 412

  25. Evaluate the following by factorization: 682 – 322

  26. Evaluate the following by factorization: 7.72 – 2.32

  27. Evaluate the following by factorization: 26.72 – 23.32

  28. Seatwork: (Notebook) • NSM Book 2: • page 92, Exercise 3e: • no. 5, letters f – j • no. 6, letters b, d and f

  29. Seatwork: no. 5 (f – j) • 2562 – 1562 • 8922 – 82 • 9032 – 972 • 7632 – 2372 • 6592 – 3412

  30. Seatwork: no. 6 • 5.16  5.6 + 5.16  4.4 • 587  23 – 23  487 • 842 – 84  74

  31. HOMEWORKReview Questions 3 page 108 # 2. a – j # 3. a – j1 whole pad paperSTUDY FOR A UNIT TEST ON TUESDAY

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