Polynomial with integer coefficients of degree
Assume f(x) is a polynomial with integer coefficients of degree 2013 and f(0)=1. If f(3) is a divisor of 2013, what's the largest possible value of f(3) can take?
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Compute the greatest common divisors d(x) of the following polynomials f(x),g(x) in the field F[x] and express d(x)=s(x)f(x)+t(x)g(x) for appropriate s(x), t(x) in F[x]: c. f(x)=(x^2)+1, g(x)=(x^2)-i+2, F=C (complex numbers) d. f(x)=(x^2)+2x+2, g
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