1. **State the problem:** Name the polynomial $n + 7n^3 - 3$ by its degree and number of terms. 2. **Recall definitions:** - The **degree** of a polynomial is the highest power of the variable in the polynomial. - The **number of terms** is how many separate monomials (parts separated by + or -) the polynomial has. 3. **Identify terms:** The polynomial is $n + 7n^3 - 3$. - Terms: $n$, $7n^3$, $-3$. - Number of terms = 3. 4. **Find degree:** - Powers of $n$ are 1 (in $n$), 3 (in $7n^3$), and 0 (constant $-3$). - Highest power is 3. 5. **Answer:** - Degree: 3 - Number of terms: 3 This matches the given answer. **Final answer:** Degree 3, 3 terms.