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If f(x) = (x + 4)/(x^2 + ax + b) and f(x) has two vertical asymptotes at x=1 and x=2, then find the sum of a and b.

 Feb 13, 2021
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Because the asymptotes are at x = 1 and x = 2, the factors in the denominator is (x-1)(x-2) = x^2 - 3x + 2. 

 

So, a = -3 and b = 2, which has a sum of -1.

 Feb 20, 2021

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