(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given that p(x) is a polynomial defined by (x+1)(x^2+2)(x^4+4)(x^8+8)....(x^1024+1024)

and knowing that the coefficient on x^2012 can be written as 2^a, find a.

2. Relevant equations

Binomial thereom mabye idk

3. The attempt at a solution

Tried grouping up terms that would sum to 2012 but didnt work nicely.

The answer is 6 btw

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# Coefficients on expansion

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