Answer :
To solve the question, we need to focus on identifying or pointing out a specific part of the polynomial, [tex]\(23x^5 - 4x^4 + 5x^2 - 7x + 1\)[/tex].
Since the question doesn't specify which part we're supposed to identify, I'll explain how to recognize a few key components of polynomials that are often asked about:
1. Degree of the Polynomial:
- The degree of a polynomial is the highest power of the variable [tex]\(x\)[/tex].
- In the polynomial [tex]\(23x^5 - 4x^4 + 5x^2 - 7x + 1\)[/tex], the highest power of [tex]\(x\)[/tex] is 5.
- Therefore, the degree of this polynomial is 5.
2. Leading Term:
- The leading term of a polynomial is the term with the highest degree.
- Here, the leading term is [tex]\(23x^5\)[/tex].
3. Constant Term:
- The constant term in a polynomial is the term without any variables.
- In this case, the constant term is 1.
4. Coefficient of a Specific Term:
- If you need the coefficient of a specific term, like [tex]\(x^2\)[/tex], look at the term involving [tex]\(x^2\)[/tex] directly.
- The coefficient of [tex]\(x^2\)[/tex] is 5.
Depending on what your task requires, you would identify or "point" to one of these components. If you have a specific part of the polynomial you need to focus on, let me know, and I can guide you further!
Since the question doesn't specify which part we're supposed to identify, I'll explain how to recognize a few key components of polynomials that are often asked about:
1. Degree of the Polynomial:
- The degree of a polynomial is the highest power of the variable [tex]\(x\)[/tex].
- In the polynomial [tex]\(23x^5 - 4x^4 + 5x^2 - 7x + 1\)[/tex], the highest power of [tex]\(x\)[/tex] is 5.
- Therefore, the degree of this polynomial is 5.
2. Leading Term:
- The leading term of a polynomial is the term with the highest degree.
- Here, the leading term is [tex]\(23x^5\)[/tex].
3. Constant Term:
- The constant term in a polynomial is the term without any variables.
- In this case, the constant term is 1.
4. Coefficient of a Specific Term:
- If you need the coefficient of a specific term, like [tex]\(x^2\)[/tex], look at the term involving [tex]\(x^2\)[/tex] directly.
- The coefficient of [tex]\(x^2\)[/tex] is 5.
Depending on what your task requires, you would identify or "point" to one of these components. If you have a specific part of the polynomial you need to focus on, let me know, and I can guide you further!
