Which of the following expressions is a binomial?

A.5

B.2a x 3b

C.3x - 5x + 3

D.4x + 2y

1 answer

A binomial is a polynomial that consists of exactly two terms.

Let's evaluate the options:

A. 5 - This is a constant and does not have two terms. (Not a binomial)

B. 2a x 3b - This expression has only one product term (which can be simplified to 6ab). (Not a binomial)

C. 3x - 5x + 3 - This can be simplified to -2x + 3, which has two terms. (This is a binomial)

D. 4x + 2y - This has two distinct terms and is also a binomial.

Both options C and D qualify as binomials, but since C simplifies to a binomial form, the clear answer is:

D. 4x + 2y is a binomial.

If we only need to identify one binomial from the options, it would be:

D. 4x + 2y.

(Note: If you're specifically looking for a direct response and only considering provided options, both C and D are technically binomials).