Fill in the blanks The coefficient of `x^(99)` in the polynomial `(x-1)(x-2)(x-3).....(x-100) is______dot`

The coefficient of x^70 in the product (x-1)(x^2-2)(x^3-3)....(x^12-12) is

The coefficient of x^9 in the expansion of (1+x)(1+ x^2)(1+x^3)....(1+x^(100)) is

The coefficient of x^(49) in the product (x - 1) (x - 2) (x - 3) ......... (x - 50) is

The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2).......(x-2^(19)) is 2^(20)-2^(19) b. 1-2^(20) c. 2^(20) d. none of these

The coefficient of x^(4) in the expansion of (1 + x + x^(2))^(3) is

The coefficient of x in the expansion of (1 + x)(1 + 2x)(1 + 3x) ... (1 + 100x) is

The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s -99^2 b. 1 c. -2500 d. none of these

Find the coefficient of x^7 in the expansion of (1+3x-2x^3)^(10)dot

The polynomial x^(3)+2x+3 has :

Find the coefficient of x^(50) in the expansion of (1+x)^(101)xx(1-x+x^2)^(100)dot