Theory of Intelligence
11TH•Mathematics•Partial Fractions•Exercise 5.1

Case: $(x-a)^n$

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Case: (x−a)n(x-a)^n

Use:

P(x)(x−a)n=A1x−a+A2(x−a)2+⋯+An(x−a)n\frac{P(x)}{(x-a)^n}=\frac{A_1}{x-a}+\frac{A_2}{(x-a)^2}+\cdots+\frac{A_n}{(x-a)^n}

Then solve by clearing denominators and comparing coefficients.

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