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Math Help - quotient of 2 functions??

  1. #1
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    quotient of 2 functions??

    i'm facing a question in a practise exam for tomorrow and can't find a method of working it out anywhere in my text book.

    If anyone could help me out with a relatively easy way of working it out, that would be great.

    question is

    Find the quotient and remainder when (x^3 - X^2 - 14x + 24) is divided by (x - 2)

    thanks very much, and any help you all can offer would be greatly appreciated!!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by bruxism View Post
    i'm facing a question in a practise exam for tomorrow and can't find a method of working it out anywhere in my text book.

    If anyone could help me out with a relatively easy way of working it out, that would be great.

    question is

    Find the quotient and remainder when (x^3 - X^2 - 14x + 24) is divided by (x - 2)

    thanks very much, and any help you all can offer would be greatly appreciated!!
    because i lack the skills to type up what i need to to explain this properly to you, i won't even attempt it. it would just be a pain for the both of us. see if the following links help. there are two main ways to do this, by long division or by synthetic division. i use long division (never learned synthetic), but you can use whichever you please of course

    see Long Division and/or Synthetic Division

    the remainder part is kind of easy though, you can just use the remainder theorem

    basically it says that if you're dividing a polynomial f(x) by something like (x - a), then the remainder is given by f(a). of course, it's more general than that. but that's the gist of it
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  3. #3
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    unbelievable, thanks again!!

    wanna come over to my house for a couple of hours jhevon?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by bruxism View Post
    unbelievable, thanks again!!

    wanna come over to my house for a couple of hours jhevon?
    haha, it would take me like 16 hours to get there. if i can get on a plane pretty much immediately that is
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  5. #5
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    arrive at 4am.... exams at 10 am.... that'll give us plenty of time!!
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  6. #6
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    Hello, bruxism!

    Find the quotient and remainder for: . (x^3 - x^2 - 14x + 24) \div (x - 2)

    You''re expected to know how to do long division.
    Code:
                        x  +  x - 12
                ---------------------
          x - 2 ) x -  x - 14x + 24
                  x - 2x
                  --------
                        x - 14x
                        x -  2x
                        --------
                             12x + 24
                             12x + 24
                            ---------
    The quotient is: . x^2 + x - 12

    The remainder is: . 0

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  7. #7
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by bruxism View Post
    arrive at 4am.... exams at 10 am.... that'll give us plenty of time!!
    don't worry about it, you'll be fine. just read through those sites, if you have any questions, you can come back here. if you require someone to go through a worked example, you'd have to wait on someone who is good at typing long division structures, such as earboth


    EDIT: ...or Soroban, haha. how could i forget about you, ol' friend
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  8. #8
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    thanks for that one soroban. I really can't believe it's that easy!! at least it means i might get at least some marks on this exam.
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