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help..maths partial fraction

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how do we knw whether to include a constant A when writing the expanded form for partial fraction...
J 08 P3 No. 7(i)
 

PlanetMaster

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There are a few conditions:

When the denominator is linear:
partial_a.gif


When the denominator contains a quadratic equation:
partial_b.gif


When the denominator contains a linear and a quadratic equation:
partial_c.gif
 
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yh...but in J 08 P3 No. 7(i), the denominator is linear...still in the mark scheme an A is introduced out of nowhere...why..?
 

PlanetMaster

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Look at my given conditions again and solve that question.
You'll get it!
 
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