Find the value of k if \(\frac{5 + 2r}{(r + 1)(r – 2)}\) expressed in…

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Mathematics JAMB 1997

Find the value of k if \(\frac{5 + 2r}{(r + 1)(r – 2)}\) expressed in partial fraction is \(\frac{k}{r – 2}\) + \(\frac{L}{r + 1}\) where K and L are constants

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The correct answer is: A

Explanation

5 + 2r = k(r + 1) + L(r - 2)

but r - 2 = 0 and r = 2

9 = 3k

k = 3
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