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Math Question

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\( f(x)=(2 x-1)(3 x-5)(x-4)(3 x+6) \) has zeros at \( x=-2, x=\frac{1}{2}, x=\frac{5}{3} \), and \( x=4 \)
What is the sign of \( f \) on the interval \( \frac{1}{2}<x<\frac{5}{3} ? \)
Choose 1 answer:
(A) \( f \) is always positive on the interval.
(B) \( f \) is always negative on the interval.
(C) \( f \) is sometimes positive and sometimes nesative on the interval.
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