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Grade: 11

                        

Find the co-efficient of x^99 in the following expression: (x-1)(x-2)(x-3).....(x-100) please give the solution

6 years ago

Answers : (1)

bharat bajaj
IIT Delhi
askIITians Faculty
122 Points
							
Say the function if f(x) = (x-1)(x-2)...(x-100)
The roots of this function is 1, 2, 3,... 100
f(x) = x^100 + ax^99 + bx^98 .... + n
sum of roots = -a = 1 + 2 .. 100 = 100(101)/2 = 5050
Hence, coeff of x^99 = -5050
Thanks
Bharat Bajaj
IIT Delhi
askiitians faculty
6 years ago
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