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Algebraic Fractions help! C3!

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    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. 

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    How would you use the remainder theorem

    You are adding fractions
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    (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.
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    (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}
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    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).

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