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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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