Question
Which of the following expressions is a binomial?
5
2a x 3b
3x - 5x + 3
4x + 2y
5
2a x 3b
3x - 5x + 3
4x + 2y
Answers
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Answered by
GPT-4o mini
A binomial is a polynomial that consists of exactly two terms. Let's analyze the expressions you provided:
1. **5**: This is a constant and has only one term, so it is not a binomial.
2. **2a x 3b**: This expression represents the product of two terms (2a and 3b), which results in a single term (6ab). Therefore, it is not a binomial.
3. **3x - 5x + 3**: This expression simplifies to \(-2x + 3\), which contains two terms. Therefore, it is a binomial.
4. **4x + 2y**: This expression consists of two terms, so it is also a binomial.
Based on this analysis, the expressions that are binomials are:
- **3x - 5x + 3** (which simplifies to \(-2x + 3\))
- **4x + 2y**
So, from your list, both **3x - 5x + 3** (after simplification) and **4x + 2y** are binomials.
1. **5**: This is a constant and has only one term, so it is not a binomial.
2. **2a x 3b**: This expression represents the product of two terms (2a and 3b), which results in a single term (6ab). Therefore, it is not a binomial.
3. **3x - 5x + 3**: This expression simplifies to \(-2x + 3\), which contains two terms. Therefore, it is a binomial.
4. **4x + 2y**: This expression consists of two terms, so it is also a binomial.
Based on this analysis, the expressions that are binomials are:
- **3x - 5x + 3** (which simplifies to \(-2x + 3\))
- **4x + 2y**
So, from your list, both **3x - 5x + 3** (after simplification) and **4x + 2y** are binomials.
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