You should not expand it

Algebra Level 3

Let S S be the sum of the coefficients of the polynomial:

℘ ( x ) = \wp (x)= ( x 2 − x + 2 ) 11 − 32 { ({ x }^{ 2 } }-x+2)^{ 11 }-32

Then, the correct value of S S is..


The answer is 2016.

João Vitor Cordeiro de Brito by João Vitor Cordeiro de B… , 27

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1 solution

Arturo Presa
Jun 10, 2019

The sum of the coefficients of any polynomial is equal to its value at x = 1 x=1 . Evaluating the given polynomial at x = 1 , x=1, we get 2 11 − 32 = 2016 . 2^{11}-32=\boxed{2016}.

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