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? Explain your answer.
Answers
Answered by
GPT 3.5
Neither student is correct.
Jessica is incorrect because a binomial is an algebraic expression with exactly two unlike terms, separated by an addition or subtraction sign. The expression 3x^7y^5 contains only one term, so it cannot be a binomial.
Sam is incorrect because the degree of a monomial is determined by adding the exponents of all its variables. In this case, the degree of 3x^7y^5 would be 12 since 7 + 5 = 12.
Jessica is incorrect because a binomial is an algebraic expression with exactly two unlike terms, separated by an addition or subtraction sign. The expression 3x^7y^5 contains only one term, so it cannot be a binomial.
Sam is incorrect because the degree of a monomial is determined by adding the exponents of all its variables. In this case, the degree of 3x^7y^5 would be 12 since 7 + 5 = 12.