AQA C4 Parametric Equations with Improper Fractions

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  1. Saf94's Avatar
    1 28-05-2012  17:40
    • Benevolent Member
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    AQA C4 Parametric Equations with Improper Fractions
    I have no idea how you split a fraction into partial fractions if its improper. Can someone please explain to me how you do it. Heres the question i got stuck on.

    Express the algebraic fraction 2x^2/(x+5)(x-3) in the form A + B+Cx/(x+5)(x-3)
  2. mikelbird's Avatar
    2 28-05-2012  18:10
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    • Location: Gloucestershire
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    Re: AQA C4 Parametric Equations with Improper Fractions
    see document
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  3. File Type: pdf Problem with partial fractions.pdf (33.2 KB, 13 views)
  4. steve10's Avatar
    3 28-05-2012  18:13
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    Re: AQA C4 Parametric Equations with Improper Fractions
    Write your equation as

    \frac{2x^2}{(x+5)(x-3)}=A+\frac{B+Cx}{(x+5)(x-3)}

    Now multiply both sides by the denominaror, to give

    2x^2=A(x+5)(x-3)+(B+Cx)

    Now put three appropriate values of x into that equation to solve for A,B,C
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