Final answer:
Only David is correct because the expression 5a+2b+c is the sum of three terms, not the product of three factors. The correct option for the student's question is B Only David.
Step-by-step explanation:
The student's question is about identifying whether the expression 5a+2b+c is a product of factors or a sum of terms. To clarify the concepts involved, a product refers to the result of multiplying two or more factors, while a sum refers to the result of adding two or more terms. In the given expression, the terms are 5a, 2b, and c, and they are being added together, not multiplied. Therefore, the correct statement about the expression is that it is the sum of three terms, as David said.
When we mention the correct option for the question "Who is correct?" the answer is B Only David. This means that Juan's statement that the expression is the product of three factors is incorrect. Remember that addition is commutative, which means that terms can be added in any order (A+B is the same as B+A). In this expression, 5a, 2b, and c are added together, which aligns with the principle of commutativity and the concept of addition.
As for the SEO keywords associated with this response, some of the relevant terms include expression, product of factors, and sum of terms. This question was about determining the correct terminology in describing algebraic expressions, specifically whether the components are being multiplied or added together.