1. **Problem Statement:** Determine if multiplying a polynomial of degree 3 by a polynomial of degree 2 results in a polynomial of degree 6. 2. **Relevant Formula:** When multiplying two polynomials, the degree of the resulting polynomial is the sum of the degrees of the two polynomials. 3. **Explanation:** - Degree of first polynomial = 3 - Degree of second polynomial = 2 - Degree of product polynomial = $3 + 2 = 5$ 4. **Conclusion:** The product polynomial will have degree 5, not 6. Therefore, the statement is **False**.