Can we stop with polynomials!

Algebra Level 4

What is the coefficient of \(x^{99}\) in the polynomial expansion below?

\[\left( x-1 \right) \left( x-2 \right) \left( x-3 \right) \cdots \left( x-100 \right)\]

Note: This was taken from a 1984 Mathematics competition, pretty long time ago.

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