# Math Help - partial fraction decomposition

1. ## 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!

2. 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)
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