1. **State the problem:** We need to find which expression has a leading coefficient of 3 and a constant term of -4. 2. **Recall definitions:** - The **leading coefficient** is the coefficient of the term with the highest power of $x$. - The **constant term** is the term without $x$. 3. **Analyze each expression:** - Expression 1: $3 - 2x^3 - 4x$ - Highest power is $x^3$ with coefficient $-2$ (leading coefficient $-2$) - Constant term is $3$ - Expression 2: $7x^3 - 3x^5 - 4$ - Highest power is $x^5$ with coefficient $-3$ (leading coefficient $-3$) - Constant term is $-4$ - Expression 3: $4 - 7x + 3x^3$ - Highest power is $x^3$ with coefficient $3$ (leading coefficient $3$) - Constant term is $4$ - Expression 4: $-4x^2 + 3x^4 - 4$ - Highest power is $x^4$ with coefficient $3$ (leading coefficient $3$) - Constant term is $-4$ 4. **Check which expression matches both conditions:** - Leading coefficient = 3 - Constant term = -4 Only Expression 4 satisfies both. **Final answer:** Expression 4: $-4x^2 + 3x^4 - 4$