Both students are incorrect.
To determine the degree of an expression, we look at the exponents of the variables.
In the given expression, the variable x has an exponent of 7 and the variable y has an exponent of 5. The degree of the expression is determined by adding the exponents of the variables, so the degree is 7 + 5 = 12.
However, the expression is not a binomial because a binomial consists of two terms separated by addition or subtraction. The expression provided has only one term. Therefore, Jessica's statement is incorrect.
Furthermore, the expression is not a monomial either. A monomial consists of only one term, but this expression has two variables, x and y. Therefore, Sam's statement is incorrect as well.
So, the expression is neither a binomial nor a monomial, and its degree is 12.
Two students are analyzing the expression 3x ^ 7 * y ^ 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.
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