Question

The following expression is a polynomial: 3x^2y^2 −2xy

a.) Classify the polynomial according to its number of terms. Explain how you know your answer is correct.
b.) Classify the polynomial according to its degree. Explain how you know your answer is correct.

Answer 1

The polynomial 3x^2y^2 - 2xy is a binomial because it has two terms. It is a fourth-degree polynomial because the highest sum of the exponents in a term is 4.

Step-by-step explanation:

The polynomial given is 3x^2y^2 − 2xy.

Classify the polynomial according to its number of terms:

This polynomial has two terms, which makes it a binomial. Each term is separated by a minus sign. The two terms are 3x2y2 and − 2xy.

Classify the polynomial according to its degree:

The degree of a polynomial is determined by the highest sum of the exponents of the variables in a single term. In the term 3x2y2, the sum of the exponents is 4 (2 for x and 2 for y), making it a fourth-degree term. Since this is the highest degree of any term in the polynomial, the polynomial itself is of the fourth degree.

Answer 2

I think the answer should be a