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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 ≠ -1 and x ≠ 2. Give your answer as the ordered pair (A, B).

 Dec 24, 2019
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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.

 Dec 24, 2019

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