Let \( f(x)=A x^{2}+B x+C \) where \( A, B, C \) are real numbers. If \( f(x) \) is an integer w...

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Let \( f(x)=A x^{2}+B x+C \) where \( A, B, C \) are real numbers. If \( f(x) \) is an integer whenever \( x \) is an integer, then which number is not necessarily integer
(A) \( 2 A \)
(B) \( A+B \)
(C) \( C \)
(D) None of these.
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