Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 490: 43

Yes. The product of two polynomials will always consist of an expression that contains variables and coefficients

The product of two polynomials will always consist of an expression that contains variables and coefficients because for example, $r \times r$ would result in $r^{2}$ which is an expression that contains variables and coefficients.