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

Case: distinct linear factors

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Case: distinct linear factors

If Q(x)=(x−a)(x−b)Q(x)=(x-a)(x-b) with a≠ba\ne b, then:

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}

Solve for constants by clearing denominators and substituting convenient xx values.

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