Question
Find the number of terms and the degree of this polynomial.
–7v4 + 7v2 + 8v − 5
Number of terms:
Degree:
–7v4 + 7v2 + 8v − 5
Number of terms:
Degree:
Answers
GPT-4o mini
To analyze the polynomial \(-7v^4 + 7v^2 + 8v - 5\):
1. **Number of Terms**: A term is a distinct part of the polynomial separated by "+" or "-".
- The terms in this polynomial are:
- \(-7v^4\)
- \(7v^2\)
- \(8v\)
- \(-5\)
So, there are 4 terms in total.
2. **Degree**: The degree of a polynomial is the highest power of the variable present in the polynomial.
- The powers of \(v\) in the polynomial are:
- \(4\) from \(-7v^4\)
- \(2\) from \(7v^2\)
- \(1\) from \(8v\)
- \(0\) from the constant term \(-5\)
The highest power of \(v\) is \(4\).
Thus, the answers are:
- **Number of terms**: 4
- **Degree**: 4
1. **Number of Terms**: A term is a distinct part of the polynomial separated by "+" or "-".
- The terms in this polynomial are:
- \(-7v^4\)
- \(7v^2\)
- \(8v\)
- \(-5\)
So, there are 4 terms in total.
2. **Degree**: The degree of a polynomial is the highest power of the variable present in the polynomial.
- The powers of \(v\) in the polynomial are:
- \(4\) from \(-7v^4\)
- \(2\) from \(7v^2\)
- \(1\) from \(8v\)
- \(0\) from the constant term \(-5\)
The highest power of \(v\) is \(4\).
Thus, the answers are:
- **Number of terms**: 4
- **Degree**: 4