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Binomial dilemma (Posted on 2019-02-02) |
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Let n≥2 be a positive integer and let f(x) be the polynomial
1 - (x + x2 + ... + xn) + (x + x2 + ... + xn)2 - ... + (-1)n(x + x2 + ... + xn)n.
Show that the coefficient of xr in f(x) is zero, for 2≤r≤n.
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| No Subject | FrankM | 2019-02-04 07:04:44 |
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