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

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2^{34}

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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 , \(\displaystyle [x^{49}] = \sum_{r=1}^{50}r(51-r) = 22100\)

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thanks aditya

no it does not help much...please elaborate

this might help

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

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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 , \(\displaystyle [x^{49}] = \sum_{r=1}^{50}r(51-r) = 22100\)

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thanks aditya

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no it does not help much...please elaborate

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this might help

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