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Algebra Level 4

If \(a,b,c\) are distinct and \(p(x)\) is a polynomial in \(x\) which leaves a remainder \(a,b,c\) on division by \((x-a),(x-b),(x-c)\)respectively.Find the remainder obtained on division of \(p(x)\) by \((x-a)(x-b)(x-c)\)

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