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

Cover-up method

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Cover-up method

If:

P(x)(x−a)(x−b)=Ax−a+Bx−b\frac{P(x)}{(x-a)(x-b)}=\frac{A}{x-a}+\frac{B}{x-b}

then after clearing denominators:

P(x)=A(x−b)+B(x−a)P(x)=A(x-b)+B(x-a)

Putting x=ax=a gives AA, and putting x=bx=b gives BB.

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