6. 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)" divides P(x) for all such P(x). Then, m equals %3D

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.