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Math Help - Rational expressions

  1. #1
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    Rational expressions

    I did a few more of these types of problems...could someone please take a look at them...I would like to make sure that I am doing the correctly...
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    Quote Originally Posted by aikenfan View Post
    I did a few more of these types of problems...could someone please take a look at them...I would like to make sure that I am doing the correctly...
    You really need to work on using parenthesis. For example in 7 you have [tex]2x + 1(x + 1)[tex] instead of (2x + 1)(x + 1). You have a similar error in 8 and 14. (This, in fact, caused your answers to 8 and 14 to be incorrect.)

    In 11, -3(x - 1) is equal to what?

    The rest looks good.

    -Dan
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    For number 8, I now get: (2x^2 + 4)/ (x-2)(x+2)
    For number 14, I get (-7x^2 + 65x + 372)/(x + 4)(x - 3)
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by aikenfan View Post
    For number 8, I now get: (2x^2 + 4)/ (x-2)(x+2)
    (x^2 + 4x + 4) + (x^2 - 4x + 4) = ?

    Quote Originally Posted by aikenfan View Post
    For number 14, I get (-7x^2 + 65x + 372)/(x + 4)(x - 3)
    Yes, but it is not simplified. The numerator factors.
    (By the way, you could've simplified the first term in the original problem.)

    -Dan
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    The numerator for 8 is 2x^2 + 8
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    93 and -28 multiply to get -2604 and add to get 65...im a little confused...what do I do with that now?
    it would be (x + 93)(x - 28)?
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  7. #7
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by aikenfan View Post
    For number 8, I now get: (2x^2 + 4)/ (x-2)(x+2)
    For number 14, I get (-7x^2 + 65x + 372)/(x + 4)(x - 3)
    Quote Originally Posted by aikenfan View Post
    93 and -28 multiply to get -2604 and add to get 65...im a little confused...what do I do with that now?
    The hint is that there is a cancellation in your answer. So think of it this way instead: does -7x^2 + 65x + 372 contain a factor of either x + 4 or x - 3?

    -Dan
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