Question

Coefficient of x⁹⁹ in the polynomial (x – 1) (x – 2) . . .

(x – 100) is

• A. 100!
• B. – 5050
• C. 5050
• D. –100!

Answer 1

Answer: (B)

– 5050

Answer 2

For the coefficient of x⁹⁹, we have to choose constant

from one bracket and x from all other brackets in (x – 1)

(x – 2). . . ..(x – 100).

Hence the required coefficient

= –(1 + 2 + 3 + . . . . + 100) = –5050