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If $f(x)=\frac{x+4}{x^2+ax+b}$, and $f(x)$ has two vertical asymptotes at $x=1$ and $x=-2$, find the sum of $a$ and $b$.

 Feb 21, 2021
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\((x-1)(x+2) = x^2 + x - 2\)

 

\(a + b = 1 - 2 = \boxed{-1}\)

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 Feb 21, 2021

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