If LCM of \( f(x) \) and \( g(x) \) is \( 6 x^{2}+13 x+6 \), then which of the following cannot ...

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If LCM of \( f(x) \) and \( g(x) \) is \( 6 x^{2}+13 x+6 \), then which of the following cannot be the HCF of \( f(x) \) and \( g(x) \) ?
(a) \( 2 x+3 \)
(b) \( 3 x+1 \)
(c) \( (2 x+3)(3 x+2) \)
(d) \( 3 x+2 \)
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