Algebraic Fractions help! C3!

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  1. kaddiescandy's Avatar
    1 20-06-2012  20:37
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    Algebraic Fractions help! C3!
    Please help me with quiestions 6 and 7. I think you have to use the remainder theorm. I dont understand and its in for tomorrow. Thanks for the help in advance.Click image for larger version.  Name: photo.JPG  Views: 22  Size: 344.2 KB  ID: 158816
  2. TenOfThem's Avatar
    2 20-06-2012  20:41
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    Re: Algebraic Fractions help! C3!
    How would you use the remainder theorem

    You are adding fractions
  3. kaddiescandy's Avatar
    3 20-06-2012  20:55
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    Re: Algebraic Fractions help! C3!
    (Original post by TenOfThem)
    How would you use the remainder theorem

    You are adding fractions
    Then please can you show me how to do it.
  4. TenOfThem's Avatar
    4 20-06-2012  21:02
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    Re: Algebraic Fractions help! C3!
    (Original post by kaddiescandy)
    Then please can you show me how to do it.
    You find a common denominator

    Same as adding any fraction

    \frac{a}{b} + \frac{c}{d} = \frac{ad+bc}{bd}
  5. aznkid66's Avatar
    5 20-06-2012  21:18
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    Re: Algebraic Fractions help! C3!
    For example, number 6:

    f(x)={-x}+\dfrac{x^2}{x-2}+\dfrac{20}{x^2+x-6}=\dfrac{-x}{1}+\dfrac{x^2}{x-2}+\dfrac{20}{(x-2)(x+3)}

    So you have to find the Least Common Multiple between the three denominators 1, (x-2), and (x-2)(x+3).
    Last edited by aznkid66; 20-06-2012 at 21:19.
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