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# Rational Expressions of Polynomials

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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