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If x^2 + ax + b is an integer for every ...

If `x^2 + ax + b` is an integer for every integer x then

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If x^2+ax+b is an integer for every integral value of x and roots of equation x^2+ax+b=0 are rational then is (A) both roots are integers (B) one is an integer and the othe is not (C) no root is an integer (D) one root is zero and other is non zero

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