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find coefficient of x 8 in expansion of (x-1)(x-2)(x-3)....(x-9)(x-10)

find coefficient of x8 in expansion of
(x-1)(x-2)(x-3)....(x-9)(x-10)

Grade:10

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
7 years ago
Cofficient of x^10 will be 1

Cofficient of x^9 will be sum of roots

Cofficient of x^8 will be sum of roots taken 2 at a time.

hence ans is 1.2 + 2.3 + 3.4 +.........

Thanks

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