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Which of the following expressions is a binomial?

5

2a x 3b

3x - 5x + 3

4x + 2y

1 answer

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.