Difference between revisions of "2011 PuMAC Problems/Algebra Problem A1"

Revision as of 18:35, 10 September 2012

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 $(63-61)^4 = 2^4 = \boxed{16}$

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Difference between revisions of "2011 PuMAC Problems/Algebra Problem A1"

Revision as of 18:35, 10 September 2012