Final answer:
In the expression 7y + 4 + 3x, 3 is indeed a coefficient, 3x and 4 are not like terms, 7y + 4 + 3x is correctly identified as a sum of three terms, and 4 is a constant. However, the expression is not a product of three factors.
Step-by-step explanation:
When analyzing the expression 7y + 4 + 3x, it is important to understand each component of the expression, notably coefficients, like terms, and constants.
- A. 3 is a coefficient. This is true because it is the numerical factor multiplying the variable x in the term 3x.
- C. 3x and 4 are not like terms. This is false because 3x is a variable term, and 4 is a constant term; like terms must contain the same variables raised to the same powers.
- D. 7y + 4 + 3x is written as a sum of three terms. This is true as it is a polynomial expression that consists of three terms.
- E. 4 is a constant. This is true because it stands alone without a variable and represents a fixed numerical value.
- F. 7y + 4 + 3x is not written as a product of three factors. This is false because the terms are added together, not multiplied.
Therefore, the true statements are A (3 is a coefficient), D (7y + 4 + 3x is written as a sum of three terms), and E (4 is a constant).