Question

35. What is the sum of the coefficients of f(x) if (15x15 - 11x + 1) f(x) = 2005 x2005?​

Answer 1

Answer:

We solve the given product (x−1)(1−2x) as follows:

(x−1)(1−2x)=(x×1)+[x×(−2x)]+(−1×1)+[(−1)×(−2x)]

=x−2x

2

−1+2x

=−2x

2

+3x−1

From the above calculations, we observe that the coefficient of x

2

is −2 and coefficient of x is 3.

Hence, the coefficient of x is 3.