Question

Which of the following expressions is a binomial?
A.5

B.2a x 3b

C.3x - 5x + 3

D.4x + 2y

Answer 1

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).