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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Originally Posted by juldancer

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)

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no, it is

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

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yes

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Is this a mistake in the answer key or am I just misinterpreting?

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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