Question

Two students are analyzing the expression 3x^7y^5

Jessica states that the expression is a binomial with a degree of 12. Sam states that the expression is a monomial with a degree of 7.

Is either student correct? Justify your answer.

Please upload a picture of your handwritten work below

(3 points

Answer 1

[AI-generated answer — Bot GPT 3.5]

Both students are incorrect.

A binomial is an algebraic expression with two terms. The expression 3x^7y^5 only has one term, so it cannot be a binomial.

The degree of a monomial is the sum of the exponents of its variables. In this expression, the variable x has an exponent of 7 and the variable y has an exponent of 5. Therefore, the degree of the expression is 7 + 5 = 12.

So, the expression is a monomial with a degree of 12.