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partial fractions confusion

Hi all when should you have partial fractions in this form e.g. have A without a denominator and when should you have a denominator under A
Reply 1
Original post by JT0121
Hi all when should you have partial fractions in this form e.g. have A without a denominator and when should you have a denominator under A


When the numerator of the fraction is of equal degree to the denominator.
if the order of the top is less than the order of the underneath you don't need the A on its own.

so if you have ( 3x + 5 )/{x2 - 9} you won't have A + ....

( 3x2 + 5 )/{x2 - 9} you must reduce the order of the top...
Reply 3
Original post by JT0121
Hi all when should you have partial fractions in this form e.g. have A without a denominator and when should you have a denominator under A


Basically if the top is divisible by the denominator, then you end up with something like A + B/(x+1) + C(x-2) ect

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