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Help College Algebra Factoring!

  1. Aug 30, 2005 #1
    Y^6+124Y^3-125

    the ^ means to the power of
    asks to factor

    help
     
  2. jcsd
  3. Aug 30, 2005 #2

    Hurkyl

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    One technique that is often useful in many problems is seeing if you can apply some sort of change of variable that makes a problem easier to solve, and then change back once you've solved the problem.
     
  4. Aug 30, 2005 #3
    I tried the u^2=y^6 and u=y^3, but im still having issues
     
  5. Aug 30, 2005 #4
    Remember, If r is a root of the equation F(x), then x-r is a factor.
     
  6. Aug 30, 2005 #5
    (y^3 + 125) * (y^3 - 1)
     
  7. Aug 30, 2005 #6
    you can factor y^3 +125.....anyone know how to do that?
     
    Last edited: Aug 30, 2005
  8. Aug 30, 2005 #7

    Fermat

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    you could use your calculator to take the cube root of -125
     
  9. Aug 30, 2005 #8
    y^3 + 125= (y + 5)(y^2 - 5y + 25)

    If you want proof:

    a^3 + b^3
    a^3 + b^3 + 3a^2b + 3ab^2 - 3a^2b - 3ab^2
    (a+b)^3 - 3a^2b - 3ab^2
    (a+b)^3 - 3ab(a+b)
    (a+b)((a+b)^2 - 3ab)
    (a+b)(a^2 + b^2 - ab)
     
    Last edited: Aug 30, 2005
  10. Aug 30, 2005 #9
    when did this become college algerbra?
     
  11. Aug 31, 2005 #10

    Math Is Hard

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    algerbra? :rofl: sorry -I had a teacher back in Alabama who pronounced it that way.
     
  12. Aug 31, 2005 #11

    HallsofIvy

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    I had a teacher in Boston who talked about "gammers" and "alphers".
     
  13. Aug 31, 2005 #12

    matt grime

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    my thoughts exactly
     
  14. Aug 31, 2005 #13

    Math Is Hard

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    :rofl: :rofl: :rofl:
     
  15. Aug 31, 2005 #14

    selfAdjoint

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    And then there was Alpher, Bethe, and Gamow.
     
  16. Aug 31, 2005 #15
    I don't see what is so funny...
     
  17. Aug 31, 2005 #16

    TD

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    It's about how mathematicians should get at least 1 hour of Greek philology in their studies :wink:
     
  18. Aug 31, 2005 #17
    What is the point if they understand the concepts and teach them to their students?
     
  19. Aug 31, 2005 #18

    TD

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    There is no 'point'. No-one is saying you're a worse teacher if you can't say 'alpha' correctly. It's just a thing some people appear to find funny...
     
  20. Sep 1, 2005 #19

    matt grime

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    I think in many parts of the UK the er and a endings have the same pronunciation anyway. Thus we spell the diminutive of fellow as fella or feller depending on your preference. And Pitta (as inj bread) is the same as pitter (one who pits, as in to pit your wits against seomthing). Or summa (summa cum laude) and summer. I would suggest that this holds true in the Boston area too. I remember being there once and being told by some american friends that I would enjoy the accent when some bloke shouted out at soem traffic lights, "use your blinker pal" (indicator) and them taking great delight in repeating it as "blink-AH"
     
  21. Sep 1, 2005 #20

    HallsofIvy

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    We appear to have completely lost any mathematical content in this thread!

    However, when I was in college, a delivery area behind the cafeteria had been clearly lettered "No Pahking"!
     
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