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anonymous

  • 5 years ago

factor: 24p^3 - 72p^2 - 32p + 96

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  1. anonymous
    • 5 years ago
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    please

  2. myininaya
    • 5 years ago
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    factor by grouping

  3. myininaya
    • 5 years ago
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    look at the first two terms what do they have in common

  4. anonymous
    • 5 years ago
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    12

  5. myininaya
    • 5 years ago
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    they have p^2 in common also right?

  6. anonymous
    • 5 years ago
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    yes

  7. myininaya
    • 5 years ago
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    it looks like they have 24 in common too

  8. anonymous
    • 5 years ago
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    o yes they do

  9. myininaya
    • 5 years ago
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    24p^2(p-3) is what we get looking at the first 2 terms

  10. myininaya
    • 5 years ago
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    now look at the 2nd two terms

  11. myininaya
    • 5 years ago
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    what do they have in common

  12. anonymous
    • 5 years ago
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    32

  13. myininaya
    • 5 years ago
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    what happens if you factor out a -32 out of the second two

  14. anonymous
    • 5 years ago
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    -32 (p + 3) ? im not sure

  15. myininaya
    • 5 years ago
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    you get -32(p-3)

  16. anonymous
    • 5 years ago
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    o okay

  17. myininaya
    • 5 years ago
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    so we have 24p^2(p-3)-32(p-3)

  18. anonymous
    • 5 years ago
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    yea

  19. myininaya
    • 5 years ago
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    so we have terms and they both have p-3 in common so we can factor out a p-3

  20. myininaya
    • 5 years ago
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    two terms*

  21. anonymous
    • 5 years ago
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    o okay

  22. myininaya
    • 5 years ago
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    (p-3)(24p^2-32)

  23. anonymous
    • 5 years ago
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    and then i factor out an 8?

  24. myininaya
    • 5 years ago
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    If you want to factor completely, you could look at the second factor and factor out this 8 you are talking about. so we have 8(p-3)(3p^2-4)

  25. myininaya
    • 5 years ago
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    finished!

  26. anonymous
    • 5 years ago
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    o okay thank u soo much!! i wil become a fan hahaa

  27. myininaya
    • 5 years ago
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    cool. so you understand?

  28. anonymous
    • 5 years ago
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    yes thank u so much

  29. myininaya
    • 5 years ago
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    you'r welcome

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