Question

(x-1) (x-2) (x-3)....(x-50) find the coefficient of x^50, x^49, x^48?

Answer 1

Heyy
For any expansion of factors in the form of (x-a), the coefficient of x's highest power (here 50) is always 1.
For the coefficient of the second term of the expansion is the sum of all the factors excluding x i.e. 1+2+3...50
=>50 (50+1)
=2500+50
=2550
Hope it helps...