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Math Help - Polynomial

  1. #1
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    Polynomial

    I'm getting stuck on a simple problem:

    Solve by adding:

    (1 / (x+3)) + (1 / (X^2+5x+6)

    I have two ways of doing this where I can factor out the 1 / (X+3) or I can multiply the numerator to get (X+2)(X+3). Can someone show me the steps to get to the correct answer?
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  2. #2
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    Re: Polynomial

    \frac{1}{x+3} + \frac{1}{(x+2)(x+3)}

    common denominator ...

    \frac{x+2}{(x+2)(x+3)} + \frac{1}{(x+2)(x+3)}

    \frac{(x+2)+1}{(x+2)(x+3)}

    \frac{x+3}{(x+2)(x+3)}

    \frac{1}{x+2}

    note restrictions ... x \ne -2 \, , \, x \ne -3
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  3. #3
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    Re: Polynomial

    Thanks! That's what I originally had and saw there was another way to solve by factoring:

    (1/(X+3))(1+(1/(X+2)) which solves out to 1/(X+2) as well.
    Last edited by simonsays; November 6th 2012 at 02:39 PM.
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