https://file.aiquickdraw.com/mathbot/file/1726580807462yy9pq0es.jpg

Let's analyze the polynomial \( -v^7 + 4 + 7v^3 \) and determine its degree and leading coefficient:

1. **Degree of the polynomial**: 
   The degree of a polynomial is the highest exponent of the variable. In this polynomial, the term with the highest exponent is \( -v^7 \). Therefore, the degree of the polynomial is **7**.

2. **Leading coefficient**:
   The leading coefficient is the coefficient of the term with the highest degree. In this case, the term \( -v^7 \) has a coefficient of **-1**.

### Answer:
- **Degree**: 7
- **Leading coefficient**: -1

Do you want further details or have any questions? Here are some related questions to practice:

1. What is the degree and leading coefficient of \( 3x^4 - 5x^3 + 6x^2 \)?
2. How do you find the degree of a polynomial with multiple variables?
3. What is the significance of the leading term in a polynomial?
4. How does the degree of a polynomial affect its graph?
5. Can a polynomial have a leading coefficient of 0?

**Tip**: Always look at the term with the highest exponent to determine both the degree and the leading coefficient.

What are the degree and leading coefficient of the polynomial -v^7 + 4 + 7v^3?

Learn how to find the degree and leading coefficient of the polynomial -v^7 + 4 + 7v^3. Understand key algebraic concepts related to polynomials, including determining the degree and identifying the leading coefficient. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation