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Warm UP!

Warm UP!. EQ: What are ways we can factor polynomials? . Factor the GCF. How can we factor the GCF out of a Polynomial???. What do these have in common??. ALL ANIMALS. What do these have in common??. ALL FLY. What is the greatest common factor??. 36. 24. The number 12.

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Warm UP!

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  1. Warm UP! EQ: What are ways we can factor polynomials?

  2. Factor the GCF How can we factor the GCF out of a Polynomial???

  3. What do these have in common?? ALL ANIMALS

  4. What do these have in common?? ALL FLY

  5. What is the greatest common factor?? 36 24 The number 12

  6. What is the greatest common factor?? 5a 35 The number 5

  7. What is the greatest common factor?? 3y -8xy y

  8. What is the greatest common factor?? -11x 22x2 11x

  9. What is the greatest common factor?? -4x6-x4-2x2 -x2

  10. Always look for a Greatest Common Factor 1st. Factor 4x + 6y What is their greatest common factor? = 2( ) 2x + 3y

  11. Factor 3y – 8xy What is their GCF? = y( ) – 8x 3 2a3 – 6ab2 = 2a( ) a2 – 3b2

  12. Factor 2h2k + 2k What is their GCF? = 2k( ) + 1 h2 6uv + 9v2 = 3v( ) 2u + 3v

  13. Factor 4x3 + 20x2 + 24x What is their GCF? = 4x( ) + 5x + 6 x2

  14. Factor 6x3 + 21x2 + 9x What is their GCF? = 3x( ) + 7x + 3 2x2

  15. Factor by Grouping How do factor polynomials with four terms???

  16. factor the expression Because BOTH expressions have (x+5) – we can use it as the “GCF” and factor it out! Move the “alike” group to the front, and squish the other terms together! **Don’t forget the sign**

  17. You try!

  18. Buuuuut... What if the "GCF" hasn't been factored yet?

  19. Grouping • Group the terms. • Factor the GCF from each group. • Factor out the common binomial. Reminder: ALWAYS check for a GCF first!!!

  20. Factor by Grouping

  21. Factor by Grouping

  22. Factor by Grouping

  23. You Try!!!

  24. Factoring x2+ bx + c To FACTOR a trinomial means to write it as the product of two binomials. Factor x2+6x + 8 What two numbers multiply to give you 8, but add to give you 6? x2+6x + 8 x2+2x +4x + 8

  25. Ex: 2 Factor x2+3x + 2 (x + 2) (x + 1) What two numbers multiply to give you the last number… and add to give you the middle number?

  26. Ex: 3 Factor x2-3x + 2 (x - 2) (x - 1) What two numbers multiply to give you the last number… and add to give you the middle number?

  27. Ex: 4 Factor x2-2x - 8 (x - 4) (x + 2)

  28. Ex: 5 Factor x2 - 5x - 14 (x - 7) (x + 2)

  29. Ex: 6 Factor x2 - 16x + 64 (x - 8) (x - 8) Same thing as (x - 8)2

  30. TRY THESE! Factor: • x2 + 7x + 6 • x2 – 5x - 24 • x2 + 10x + 24

  31. Homework:p. 95(13-24)p. 83(1-9)**Your Answers Will NOT Match the Answers in the Back of the Book.

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