For which of the following rings is it possible for the product of two nonzero elements to be zero?

(A) The ring of complex numbers

(B) The ring of integers modulo 11

(C) The ring of continuous real-valued functions on [0, 1]

(D) The ring {$\displaystyle a+b \sqrt{2} $ :a and b are rational numbers}

(E) The ring of polynomials in x with real coefficients