To classify the expressions x³y and 5xyz, we need to consider two key aspects: their degree and the number of terms they contain.
1. Classifying the Expression x³y
The expression x³y consists of:
- Terms: It is a single term.
- Degree: The degree of a term is calculated by summing the exponents of all its variables. In this case, the exponent of x is 3, and the exponent of y is 1. Thus, the degree is:
Degree of x³y = 3 + 1 = 4
2. Classifying the Expression 5xyz
The expression 5xyz is also classified based on:
- Terms: This is another single term expression.
- Degree: Here, the variable x has an exponent of 1, y also has an exponent of 1, and z has an exponent of 1. Therefore, the degree can be calculated as:
Degree of 5xyz = 1 + 1 + 1 = 3
Conclusion
In summary:
- The expression x³y is a single term with a degree of 4.
- The expression 5xyz is also a single term, but with a degree of 3.
This classification helps in understanding the structure of polynomials and expressions in algebra.