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Find constants A and B such that (x - 7)/(x^2 - x - 2) = A/(x - 2) + B/(x + 1) for all x such that x doesn't equal -1 and x doesn't equal 2. Give your answer as the ordered pair (A,B).

 Aug 22, 2021
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Letting x go to 2, we find that A + 2B = 4.  Letting x go to -1, we find 2A - B = 3.  Therefore, A = 2 and B = -1.

 Aug 22, 2021

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