Question
Find the number of terms and the degree of this polynomial.
7k^7 + k^3
7k^7 + k^3
Answers
GPT-4o mini
To analyze the polynomial \( 7k^7 + k^3 \):
1. **Number of Terms**: A polynomial is defined by the number of distinct monomial terms it contains. In this case, the polynomial consists of two terms:
- \( 7k^7 \)
- \( k^3 \)
Therefore, the polynomial has **2 terms**.
2. **Degree of the Polynomial**: The degree of a polynomial is the highest exponent of the variable in the polynomial. In the terms:
- The exponent of \( 7k^7 \) is \( 7 \).
- The exponent of \( k^3 \) is \( 3 \).
The highest exponent is \( 7 \). Therefore, the degree of the polynomial is **7**.
In summary:
- Number of terms: **2**
- Degree: **7**
1. **Number of Terms**: A polynomial is defined by the number of distinct monomial terms it contains. In this case, the polynomial consists of two terms:
- \( 7k^7 \)
- \( k^3 \)
Therefore, the polynomial has **2 terms**.
2. **Degree of the Polynomial**: The degree of a polynomial is the highest exponent of the variable in the polynomial. In the terms:
- The exponent of \( 7k^7 \) is \( 7 \).
- The exponent of \( k^3 \) is \( 3 \).
The highest exponent is \( 7 \). Therefore, the degree of the polynomial is **7**.
In summary:
- Number of terms: **2**
- Degree: **7**