Coefficients Party, Part 3

Algebra Level 2

Find the sum of the coefficients of ( 3 x 2 + 2 x 9 − 4 x + 1 ) 8 . (3x^2+2x^9-4x+1)^8.


The answer is 256.

Trevor B. by Trevor B. , 22, USA

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1 solution

Shaun Loong
May 4, 2014

Let the given expression be f ( x ) f(x) . Clearly, upon expansion will result in a polynomial. Hence, the sum of coefficient can be obtained when x = 1 x=1 . f ( 1 ) = 2 8 f(1)=2^{8} f ( 1 ) = 256 f(1)=\boxed{256}

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