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Math Help - partial fraction decomposition

  1. #1
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    partial fraction decomposition

    Ok so the problem I have to do is

    (4-x)/(x^2+6x+8)

    The correct answer is apparently 3/(x+2) - 4/(x+2)
    but how is this possible if the denominator is x^2+6x+8? When the denominator is factored, aren't the factors (x+4) and (x+2) ?

    Is this a mistake in the answer key or am I just misinterpreting?
    If anyone can tell me how to do this, your help would be much 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 juldancer View Post
    Ok so the problem I have to do is

    (4-x)/(x^2+6x+8)

    The correct answer is apparently 3/(x+2) - 4/(x+2)
    no, it is \frac 3{x + 2} - \frac 4{x + 4}

    When the denominator is factored, aren't the factors (x+4) and (x+2) ?
    yes

    Is this a mistake in the answer key or am I just misinterpreting?
    if the answer key says what you typed, then it is a mistake. but it is likely you copied it wrong. students do that all the time
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