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algebra senior
Problem
The sum of the numerical coefficients of all the terms in the expansion of is:
(A)
(B)
(C)
(D)
Solution
For any polynomial, even a polynomial with more than one variable, the sum of all the coefficients (including the constant, which is the coefficient of ) is found by setting all variables equal to . Note that we don't have to worry about whether a constant is a coefficient of an "invisible" term, because there is no such term here. Setting gives , which is equal to , which is answer .
Final answer
B