2011 PuMAC Problems/Algebra Problem A1

Note that in a polynomial $\displaystyle\sum^{n}_{i=0} a_ix^i$ , $x=1$ gives $\displaystyle\sum^{n}_{i=0} a_i$ , which is the sum of the coefficients.

Therefore, the sum of the coefficients of $(63x-61)^4$ is $(63-61)^4 = 2^4 = \boxed{16}$

Page

Toolbox

Search

2011 PuMAC Problems/Algebra Problem A1