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Homework Help: How to factor this monster into two quadratics?

  1. Mar 23, 2008 #1
    1. The problem statement, all variables and given/known data

    How to factor this monster? I am rather clueless

    2. Relevant equations

    Hint is given that you can get two quadratic polynomials out of it..

    3. The attempt at a solution

    I can always cheat by using Maple to factor but I don't want do it! I want learn how to do it.

    Thanks for any help!
  2. jcsd
  3. Mar 23, 2008 #2


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    Hi motornoob! :smile:

    Well, for a start, you can divide by 36 to get:


    hmm … now to think … :frown:
  4. Mar 23, 2008 #3
    Yeah I divided by 144 to get something smaller but the last number is like 6.25.. I said is no big deal.. but still, I can't factor this.
  5. Mar 23, 2008 #4


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    motornoob, there's no point in making fractions - the object is to simplify it!

    Stick with mine:

    I think the best way to do this is just to write it as

    [tex](at^{2}\,+\,bt\,+\,c)(dt^{2}\,+\,et\,+\,f)\,,[/tex] ​

    and just multiply it out, giving you five equations to solve.

    (I've done it - you can more-or-less guess the right answer once you've done that.)

    Have a go! :smile:
  6. Mar 23, 2008 #5
    Five equations to solve huh. I sure hope they don't give us something like this on an exam, considering this part of an integration problem. Thanks so much for the help.
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