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Answer the questions about the following polynomial.
6, minus, start fraction, x, divided by, 8, end fraction
6− 
8
x
​
 
Answer
Attempt 1 out of 2

The expression represents a 
 polynomial with 
 terms. The constant term is 
, the leading term is 
, and the leading coefficient is 
.


Let's break down the given polynomial expression:

\[
6 - \frac{x}{8}
\]

### Step 1: Identify the terms
This expression consists of two parts:
1. **6** (constant term)
2. **-\(\frac{x}{8}\)** (variable term involving \(x\))

### Step 2: Determine the number of terms
This polynomial has **2 terms**: 
- The constant term \(6\)
- The variable term \(-\frac{x}{8}\)

### Step 3: Constant term
The **constant term** is the number that does not involve any variable, which is **6**.

### Step 4: Leading term
The **leading term** refers to the term that contains the variable with the highest degree. In this case, it's **-\(\frac{x}{8}\)**, because it involves \(x\).

### Step 5: Leading coefficient
The **leading coefficient** is the numerical factor of the leading term. Here, the leading term is \(-\frac{x}{8}\), and its coefficient is **-\(\frac{1}{8}\)**.

### Final Answer:
- The expression represents a **polynomial with 2 terms**.
- The constant term is **6**.
- The leading term is **-\(\frac{x}{8}\)**.
- The leading coefficient is **-\(\frac{1}{8}\)**.

Do you want more details or have any questions?

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Here are 5 related questions to expand on this:

1. What is the degree of the polynomial \(6 - \frac{x}{8}\)?
2. How would the polynomial change if the leading coefficient were positive?
3. Can you identify the type of polynomial (monomial, binomial, trinomial)?
4. What happens to the value of the polynomial as \(x\) increases?
5. How can this polynomial be graphed?

**Tip:** When identifying the leading term, always focus on the term with the variable raised to the highest power!

Answer the questions about the following polynomial. 6 - (x / 8)

Understand the polynomial expression 6 - (x / 8) with detailed explanations. Identify the constant term, the leading term, and the leading coefficient in this 2-term polynomial. Suitable for students in Grades 6-8.

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