Answer the questions about the following polynomial.
4, plus, start fraction, x, cubed, divided by, 2, end fraction
4+
2
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
The expression represents a polynomial with 2 terms. The constant term is 4, the leading term is x^3, and the leading coefficient is 2.
Answer: The expression 4 + (x^3/2) represents a polynomial with 2 terms. The constant term is 4, the leading term is (x^3/2), and the leading coefficient is 1/2.
To answer the questions about the polynomial 4 + (x^3)/2, let's break it down step by step.
1. Firstly, let's determine the number of terms in the polynomial. In this case, there is only one term, which is (x^3)/2.
2. Next, let's identify the constant term. The constant term is the term that does not contain any variables. In this polynomial, the constant term is 4.
3. Now, let's find the leading term. The leading term is the term with the highest power of x. In this case, the leading term is (x^3)/2.
4. Finally, let's determine the leading coefficient. The leading coefficient is the coefficient of the leading term. In our polynomial, the leading coefficient is 1/2.
So, to summarize:
- Number of terms: 1
- Constant term: 4
- Leading term: (x^3)/2
- Leading coefficient: 1/2
I hope this helps! Let me know if you have any further questions.