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Factoring- 10

Factoring- 10. Factor:. Factoring– 10. GCF. Factoring- 20. Factor:. Factoring – 20. Binomial, difference of squares. Factoring - 30. Factor:. Factoring – 30. Trinomial, ax 2 type. Factoring - 40. Factor:. Factoring – 40. Difference of Cubes. Factoring - 50. Factor:.

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Factoring- 10

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  1. Factoring- 10 Factor:

  2. Factoring– 10 • GCF

  3. Factoring- 20 • Factor:

  4. Factoring – 20 • Binomial, difference of squares

  5. Factoring - 30 • Factor:

  6. Factoring – 30 Trinomial, ax2 type

  7. Factoring - 40 • Factor:

  8. Factoring – 40 • Difference of Cubes

  9. Factoring - 50 • Factor:

  10. Factoring – 50 • GCF, then trinomial (x2 type)

  11. Rational - 10 • Simplify the rational expression

  12. Rational – 10 • Top and bottom are already as simple as they can be, cancel things out.

  13. Rational - 20 • Simplify the rational expression

  14. Rational – 20 • Top- GCF • Bottom- Trinomial (x2 type) • Cancel

  15. Rational - 30 • Multiply the rational expressions

  16. Rational – 30 • Factor top and bottom, put together, cancel

  17. Rational - 40 • Multiply the rational expressions

  18. Rational – 40 1: Factor all numerators and denominators: 2: Cancel all common factors: 3: Multiply the denominators and numerators:

  19. Rational - 50

  20. Rational – 50 • Flip the second one • Factor the top • Factor the bottom • Cancel

  21. Rational (2) - 10 • Divide the rational expression

  22. Rational (2) – 10 • Flip the second one, • Factor the top • Factor the bottom • Cancel

  23. Rational (2) - 20 • Add the rational expression

  24. Rational (2)– 20

  25. Rational (2)- 30 • Subtract the rational expression

  26. Rational (2)– 30

  27. Rational (2)- 40 • Add the rational expression

  28. Rational (2)– 40

  29. Rational (2)- 50 • Subtract the Rational Expressions

  30. Rational (2)– 50

  31. Binomial Theorem- 10 • Fill in the missing pieces of Pascal’s triangle • (Rewrite this whole chunk on your white board)

  32. Binomial Theorem– 10

  33. Binomial Theorem- 20 • Use Binomial Expansion to Expand: (x+2)5

  34. Binomial Theorem– 20

  35. Binomial Theorem- 30 • Use the binomial theorem to expand: (2x – 5y)7

  36. Binomial Theorem– 30 128x7 – 2240x6y + 16800x5y2 – 70000x4y3 + 175000x3y4 – 262500x2y5+ 218750xy6 – 78125y7

  37. Binomial Theorem- 40

  38. Binomial Theorem– 40 Third term is like x7y2

  39. Binomial Theorem- 50

  40. Binomial Theorem– 50 5th term would be like x8y4

  41. Functions/Inverses- 10 • For {(-1,7),(3,4),(0,5),(-2,4)} • Is it a function? • What is the domain? • What is the range? • Is it one-to-one? • Is it invertible? • What is the inverse?

  42. Functions/Inverses– 10 • For {(-1,7),(3,4),(0,5),(-2,4)} • Is it a function?---------------Yes • What is the domain?--------{-2,-1,0,3} • What is the range?----------{4,5,7} • Is it one-to-one?--------------No • Is it invertible?----------------No (The inverse is not a function since it is not one to one) • What is the inverse?-------- {(7,-1),(4,3),(5,0),(4,-2)}

  43. Functions/Inverses- 20 For the graph state the following: • Is it a function? • Is it one-to-one? • What is the domain? • What is the range? • Is it invertible?

  44. Functions/Inverses– 20 For the graph state the following: • Is it a function?----Yes • Is it one-to-one?---No • What is the domain? (-infinity, infinity) d) What is the range? [-1,infinity) e) Is it invertible? No

  45. Functions/Inverses- 30

  46. Functions/Inverses– 30

  47. Functions/Inverses- 40 • Find the inverse of: m(x)=2x2-5

  48. Functions/Inverses– 40

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