Get personalized answers to your unique questions on IDNLearn.com. Our platform offers reliable and detailed answers, ensuring you have the information you need.
Sagot :
Let's analyze the polynomial provided: \( x^3 + \frac{1}{3} x^4 + 6x + 5 \).
To find the power of the term with the coefficient \( 6 \), we need to look at the polynomial term by term.
1. First term: \( x^3 \)
- The coefficient here is \( 1 \).
- The power of \( x \) in this term is \( 3 \).
2. Second term: \( \frac{1}{3} x^4 \)
- The coefficient here is \( \frac{1}{3} \).
- The power of \( x \) in this term is \( 4 \).
3. Third term: \( 6x \)
- The coefficient here is \( 6 \).
- The power of \( x \) in this term is \( 1 \) (since \( 6x \) is equivalent to \( 6x^1 \)).
4. Fourth term: \( 5 \)
- This is a constant term.
- The coefficient here is \( 5 \).
- There is no \( x \) variable in this term, so the power of \( x \) is \( 0 \) (since any number can be considered as the number times \( x^0 \)).
We are asked for the power of the term with the coefficient \( 6 \). Based on the third term \( 6x \), the power of \( x \) in this term is \( 1 \).
Therefore, the power of the term with the coefficient \( 6 \) is:
B. 1
To find the power of the term with the coefficient \( 6 \), we need to look at the polynomial term by term.
1. First term: \( x^3 \)
- The coefficient here is \( 1 \).
- The power of \( x \) in this term is \( 3 \).
2. Second term: \( \frac{1}{3} x^4 \)
- The coefficient here is \( \frac{1}{3} \).
- The power of \( x \) in this term is \( 4 \).
3. Third term: \( 6x \)
- The coefficient here is \( 6 \).
- The power of \( x \) in this term is \( 1 \) (since \( 6x \) is equivalent to \( 6x^1 \)).
4. Fourth term: \( 5 \)
- This is a constant term.
- The coefficient here is \( 5 \).
- There is no \( x \) variable in this term, so the power of \( x \) is \( 0 \) (since any number can be considered as the number times \( x^0 \)).
We are asked for the power of the term with the coefficient \( 6 \). Based on the third term \( 6x \), the power of \( x \) in this term is \( 1 \).
Therefore, the power of the term with the coefficient \( 6 \) is:
B. 1
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.