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Math·Advanced Math·Nonlinear functions

hard

$$f(x)=(x-a)(x-b)$$
The function $f$ is defined by the given equation, where $a$ and $b$ are integer constants. If $f(26)>0$, $f(29)<0$, and $f(32)>0$, what is one possible value of $a+b$?

1

57

2

58

3

59