Answer the questions about the following polynomial:
8x^3 + 6x -1
What expression polynomial is it?
How many terms are there and what are the terms?
What is the constant term?
What are the leading term, the coefficient?

Let's break down the polynomial \( 8x^3 + 6x - 1 \) and answer the questions one by one.

### 1. **What expression polynomial is it?**
This is a **cubic polynomial**. It has a degree of 3 (the highest power of \( x \)).

### 2. **How many terms are there and what are the terms?**
The polynomial has **3 terms**: 
- \( 8x^3 \) (cubic term)
- \( 6x \) (linear term)
- \( -1 \) (constant term)

### 3. **What is the constant term?**
The **constant term** is \( -1 \). This term has no variable (\( x \)).

### 4. **What are the leading term and the coefficient?**
The **leading term** is the term with the highest degree of \( x \), which is \( 8x^3 \).

The **coefficient** of the leading term is **8**, which is the numerical factor in front of \( x^3 \).

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Would you like more details on any of these points? Or would you like to explore related concepts further?

Here are some follow-up questions:
1. What does the degree of a polynomial tell you?
2. How do you find the degree of a polynomial?
3. What is the difference between the leading term and the constant term?
4. How can you factor a cubic polynomial like \( 8x^3 + 6x - 1 \)?
5. How do you determine the degree of the polynomial when terms have different powers of \( x \)?

**Tip:** When identifying the degree of a polynomial, always look for the term with the highest power of the variable.

Answer the questions about the following polynomial: 8x^3 + 6x -1. What expression polynomial is it? How many terms are there and what are the terms? What is the constant term? What are the leading term, the coefficient?

Explore the polynomial 8x^3 + 6x - 1, learn about its degree, terms, constant term, and leading term. This breakdown helps students understand cubic polynomials, with a focus on the structure and key elements like coefficients and the constant term. Suitable for Grades 7-9.

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