When an unknown polynomial is divided by \( (x-1) \) and by \( (x-2) \) we obtain the remainder ...

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When an unknown polynomial is divided by \( (x-1) \) and by \( (x-2) \) we obtain the remainder 2 and 1 , respectively. Then the remainder resulting from the division of this polynomial by \( (x-1)(x-2) \) is
(A) \( 3-x \)
(B) \( 2 x-3 \)
(C) \( 2+3 x \)
(D) \( x-2 \)
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