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Math Help - Express f(x) in the form (x-a)g(x)

  1. #1
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    Express f(x) in the form (x-a)g(x)

    So I have to do what it says in the title in order to continue to answer the rest of this question.

    f(x) = x^2 - 4x - 3

    And I need to express that in the form of a product of

    (x-3)g(x)

    I have no idea how to find g(x) so any hints would be much appreciated.

    As an aside, I am aware it would be much easier if the question was x^2-4x+3, but I have double and triple checked my math to get up to this point and that is definitely not the question.
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  2. #2
    Super Member TheChaz's Avatar
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    Re: Express f(x) in the form (x-a)g(x)

    Do long (or synthetic) division of f(x) by (x - 3)
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  3. #3
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    Re: Express f(x) in the form (x-a)g(x)

    Thanks,

    so g(x) = x - 1 - 6/x-3

    ?
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  4. #4
    Super Member TheChaz's Avatar
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    Re: Express f(x) in the form (x-a)g(x)

    Quote Originally Posted by Perfection View Post
    Thanks,

    so g(x) = x - 1 - 6/x-3

    ?
    Indeed.
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  5. #5
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    Re: Express f(x) in the form (x-a)g(x)

    thank you
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