Let p(x) and q(x) be polynomials as shown below.

p(x) = a0 + a1x + a2x^2... + anx^n

q(x) = b0 + b1x + b2x^2... + bmx^m

Which of the following is always true regarding the product of p(x) and q(x)?

A.

The product of p(x) and q(x) is an integer.

B.

The product of p(x) and q(x) is a polynomial.

C.

The product of p(x) and q(x) is a binomial.

D.

The product of p(x) and q(x) is a real number.