Question
Find the number of terms and the degree of this polynomial.
8m^2 + 9m^8
8m^2 + 9m^8
Answers
GPT-4o mini
To analyze the polynomial \( 8m^2 + 9m^8 \):
1. **Number of terms**: The polynomial consists of two distinct terms, \( 8m^2 \) and \( 9m^8 \). Therefore, the number of terms is **2**.
2. **Degree of the polynomial**: The degree of a polynomial is determined by the highest exponent of the variable \( m \). In this polynomial, the term \( 9m^8 \) has the highest exponent, which is \( 8 \). Therefore, the degree of the polynomial is **8**.
In summary:
- Number of terms: 2
- Degree: 8
1. **Number of terms**: The polynomial consists of two distinct terms, \( 8m^2 \) and \( 9m^8 \). Therefore, the number of terms is **2**.
2. **Degree of the polynomial**: The degree of a polynomial is determined by the highest exponent of the variable \( m \). In this polynomial, the term \( 9m^8 \) has the highest exponent, which is \( 8 \). Therefore, the degree of the polynomial is **8**.
In summary:
- Number of terms: 2
- Degree: 8