Question: Problem 48. Let P(x) be a polynomial such that P(xo) = P' (xo) = . . . = P() (x0) = 0 for some xo

Problem 48. Let P(x) be a polynomial such that P(xo) = P' (xo) = . . . = P(") (x0) = 0 for some xo E R and n E N. Prove that P(x) = (x - xo)"Q(x) for some polynomial @(x)

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