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Let P be a non-zero polynomial such that...

Let P be a non-zero polynomial such that `P(1+x)=P(1-x)` for all real x, and P(1)=0. Let m be the largest integer such that `(x-1)^m` divides P(x) for all such P(x). Then m equals

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1

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2

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3

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4

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KVPY PREVIOUS YEAR-SOLVED PAPER 2019-EXAMPLE
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