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Can anyone help me to find the coefficient of \(x^{49}\) in \[ \displaystyle \prod_{r=1}^{50} [x - r(51-r)]? \]

Note by Space Sizzlers 6 months, 4 weeks ago

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Coefficient of \(x^{49}\) is equivalent to finding the sum of the roots of the equation if the expression is equated to zero.

In this case , \(\displaystyle [x^{49}] = \sum_{r=1}^{50}r(51-r) = 22100\) – Aditya Narayan Sharma · 6 months, 4 weeks ago

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@Aditya Narayan Sharma – thanks aditya – Space Sizzlers · 6 months, 4 weeks ago

no it does not help much...please elaborate – Space Sizzlers · 6 months, 4 weeks ago

this might help – Starwar Clone · 6 months, 4 weeks ago

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TopNewestCoefficient of \(x^{49}\) is equivalent to finding the sum of the roots of the equation if the expression is equated to zero.

In this case , \(\displaystyle [x^{49}] = \sum_{r=1}^{50}r(51-r) = 22100\) – Aditya Narayan Sharma · 6 months, 4 weeks ago

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– Space Sizzlers · 6 months, 4 weeks ago

thanks adityaLog in to reply

no it does not help much...please elaborate – Space Sizzlers · 6 months, 4 weeks ago

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this might help – Starwar Clone · 6 months, 4 weeks ago

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