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To determine the degree of the polynomial \(5xy^2 - 5\), we need to find the highest sum of the exponents in any term of the polynomial.

1. **First term: \(5xy^2\)**  
   - The term \(5xy^2\) has the variables \(x\) and \(y\).  
   - The exponent of \(x\) is 1 (since \(x\) is \(x^1\)), and the exponent of \(y\) is 2.  
   - The sum of these exponents is \(1 + 2 = 3\).

2. **Second term: \(-5\)**  
   - This term has no variables, so its degree is 0.

The degree of a polynomial is the highest degree of any of its terms. Therefore, the degree of the polynomial \(5xy^2 - 5\) is **3**.

Would you like more details on polynomial degrees or have any other questions?

### Related Questions:
1. What is a polynomial degree and how is it determined?
2. How do you find the degree of a monomial with multiple variables?
3. What is the significance of the degree of a polynomial in algebra?
4. Can a polynomial have negative or fractional degrees?
5. How does the degree of a polynomial affect its graph and roots?

**Tip:** The degree of a polynomial gives insights into its behavior, such as the number of possible roots and its end behavior.

Determine the degree of the polynomial 5xy^2 - 5.

Learn how to find the degree of the polynomial 5xy^2 - 5. This problem covers algebraic concepts related to polynomials, including identifying the highest degree term. Suitable for students in Grades 8-10.

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