13thank u ...
what is the coefficient of x99 in (x-1)(x-2)(x-3)......(x-100) is
1. -5050
2. 5050
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2 Answers
33coefficient of x99:
=-1-2-3-4-5....-100
=-(1+2+3+...+100)
=-5050
(For x99 we have to multiply 99 brackets with the constant part of 100th bracket.
So multiplying -1 with x of all other brackets we get -x99
multiplying -2 with x of all other brackets we get -2x99
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multiplying -100 with x of all other brackets we get -100x99