How many polynomialsf(x) are there, which satisfy all the following conditions:

f(x) is monic.f(x) has degree 1000.f(x) has real coefficients.f(x) divides (x−1)f(2x).f(2) is an integer.

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- April 11th 2013, 05:24 PMgeniusgarvil1000 degree polynomialHow many polynomials
*f*(*x*) are there, which satisfy all the following conditions:*f*(*x*) is monic.*f*(*x*) has degree 1000.*f*(*x*) has real coefficients.*f*(*x*) divides (*x*−1)*f*(2*x*).*f*(2) is an integer.