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Question: please show clear detailed step by step concise proof please...

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Prove that if f E Cla, b] and f 2 0, then for any set of nodes x,x2, xn there is a polynomial p such that p 20 and p(x)-f(x) for 1 isn.


please show clear, detailed step by step concise proof. please DO NOT copy answers from other websites and put it here. I want ORIGINAL proof from someone who is very sure of his work or please DO NOT POST. thanks

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