1. The problem asks to identify which expression is a binomial with degree 3 and a constant term of -7. 2. A binomial is a polynomial with exactly two terms. 3. The degree of a polynomial is the highest power of the variable in the expression. 4. The constant term is the term without any variables. 5. Let's analyze each option: - Option 1: $3xy^2 - 7$ - Terms: $3xy^2$ and $-7$ (2 terms, so binomial) - Degree: The degree is the sum of exponents in $3xy^2$, which is $1 + 2 = 3$ - Constant term: $-7$ - Option 2: $2x^4 - 7$ - Terms: $2x^4$ and $-7$ (2 terms, binomial) - Degree: 4 (from $x^4$) - Constant term: $-7$ - Option 3: $-7x^3 + 3y + 5$ - Terms: 3 terms (not binomial) - Degree: 3 (from $x^3$) - Constant term: 5 (not $-7$) - Option 4: $-5x + 13x^2y - 7$ - Terms: 3 terms (not binomial) - Degree: $2 + 1 = 3$ (from $x^2y$) - Constant term: $-7$ 6. Only Option 1 meets all criteria: binomial, degree 3, constant term $-7$. **Final answer:** $3xy^2 - 7$