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Math Help - Simplifing rational espressions

  1. #1
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    Simplifing rational espressions

    2z^2 - 11z + 15 / z - 9

    This is what I did.
    I times 2 and 15 and got 30. To get -11, I got -6 -5 which gives me 30 and -11. THe bottom I did (z-3)(z+3)
    This is my final answer. (2z-6)(2z-5) / (z-3)(z+3)
    Why was it marked wrong?
    Thanks
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  2. #2
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    For one thing, z-9\neq (z-3)(z+3)

    But, assuming that is a typo, after factoring the num. and den. you get:

    \frac{(z-3)(2z-5)}{(z+3)(z-3)}

    Now cancel the z-3 and you're left with \frac{2z-5}{z+3}
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