Question
Answer the questions about the following polynomial.
4, plus, one third, x, cubed
4+
3
1
x
3
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
.
4, plus, one third, x, cubed
4+
3
1
x
3
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
.
Answers
GPT-4o mini
Let's break down the given expression \( 4 + \frac{1}{3}x^3 \).
1. **Identify the Terms**:
- The expression has two terms: \( 4 \) (constant term) and \( \frac{1}{3}x^3 \) (a term involving \( x \)).
2. **Determine the Constant Term**:
- The constant term is \( 4 \).
3. **Identify the Leading Term**:
- The term with the highest degree in this polynomial is \( \frac{1}{3}x^3 \), which is the leading term.
4. **Find the Leading Coefficient**:
- The leading coefficient is the coefficient of the leading term. In this case, it is \( \frac{1}{3} \).
Putting this all together, we have:
- The expression represents a polynomial with **2 terms**.
- The constant term is **4**.
- The leading term is **\(\frac{1}{3}x^3\)**.
- The leading coefficient is **\(\frac{1}{3}\)**.
So your final answers would be:
- The expression represents a polynomial with **2 terms**. The constant term is **4**, the leading term is **\(\frac{1}{3}x^3\)**, and the leading coefficient is **\(\frac{1}{3}\)**.
1. **Identify the Terms**:
- The expression has two terms: \( 4 \) (constant term) and \( \frac{1}{3}x^3 \) (a term involving \( x \)).
2. **Determine the Constant Term**:
- The constant term is \( 4 \).
3. **Identify the Leading Term**:
- The term with the highest degree in this polynomial is \( \frac{1}{3}x^3 \), which is the leading term.
4. **Find the Leading Coefficient**:
- The leading coefficient is the coefficient of the leading term. In this case, it is \( \frac{1}{3} \).
Putting this all together, we have:
- The expression represents a polynomial with **2 terms**.
- The constant term is **4**.
- The leading term is **\(\frac{1}{3}x^3\)**.
- The leading coefficient is **\(\frac{1}{3}\)**.
So your final answers would be:
- The expression represents a polynomial with **2 terms**. The constant term is **4**, the leading term is **\(\frac{1}{3}x^3\)**, and the leading coefficient is **\(\frac{1}{3}\)**.