Final answer:
The given polynomial, 7x^3+xy-4, is a cubic polynomial with 3 terms.
Step-by-step explanation:
The given polynomial is 7x^3+xy-4. To name each polynomial based on its degree and number of terms, we need to determine the degree of each term and count the number of terms in the polynomial.
The degree of a monomial (a single term polynomial) is equal to the sum of the exponents of the variables in the term.
In the given polynomial, the term 7x^3 has a degree of 3. The term xy has a degree of 2 (since the sum of the exponents of x and y is 1+1=2), and the term -4 is a constant term which has a degree of 0.
Therefore, based on the degree and number of terms, we can name the given polynomial as follows:
- Degree: 3, Number of terms: 3 - It is called a cubic polynomial.