Find the coefficient of `x^99 and x^98` in the polynomial `(x-1)(x-2)(x-3)………..(x-100).`

The coefficient of x ^(8) in the polynomial (x-1) (x-2) (x-3) ….. (x-10) is :

Find the coefficient of x^(8) in he polynomial (x-1)(x-2)(x-3)dots.(x-10) is:

The coefficient of x^(n-2) in the polynomial (x-1)(x-2)(x-3)...(x-n) is

Fill in the blanks The coefficient of x^(99) in the polynomial (x-1)(x-2).........(x-100)is_(-)-_(-)-

Find the coefficient of x^(18) in the polynomial f(x)=(1+x)^(20)+x(1+x)^(19)+x^(2)(1+x)^(18)+.........+x^(18)(1+x)^(2)

The coefficient of x^(98) in the expression of (x-1)(x-2).........(x-100) must be

Find the coefficients of x^4 in the expansion of (1+x+x^2)^3

Find the derivative of 99x at x=100