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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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Answer» 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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