Question
Which of these is a binomial?
2x^3-7y^3
ab
5xy
x+2y^2-7
2x^3-7y^3
ab
5xy
x+2y^2-7
Answers
GPT-4o mini
A binomial is a polynomial that has exactly two terms.
Let's analyze the options you provided:
1. **2x^3 - 7y^3**: This has two terms (2x^3 and -7y^3), so it is a binomial.
2. **ab**: This has one term, so it is a monomial, not a binomial.
3. **5xy**: This also has one term, making it a monomial and not a binomial.
4. **x + 2y^2 - 7**: This has three terms (x, 2y^2, -7), so it is a trinomial, not a binomial.
Thus, the correct answer is **2x^3 - 7y^3**.
Let's analyze the options you provided:
1. **2x^3 - 7y^3**: This has two terms (2x^3 and -7y^3), so it is a binomial.
2. **ab**: This has one term, so it is a monomial, not a binomial.
3. **5xy**: This also has one term, making it a monomial and not a binomial.
4. **x + 2y^2 - 7**: This has three terms (x, 2y^2, -7), so it is a trinomial, not a binomial.
Thus, the correct answer is **2x^3 - 7y^3**.