Question

When simplified completely, the product of a binomial and a binomial is a ______________ monomial.

a. always
b.sometimes
c.never

Answer 1

The answer is Never

Answer 2

c. never

Explanation:

When we find product of a binomial by a binomial, the result is never be a monomial.

Let me explain it to with an example.

Binomial is consist of two terms.

Let's take two binomials (x + 2) (x + 3)

Let's find the product of these two binomials.

(x + 2)(x + 3) = x^2 + 2x + 3x + 6

Simplifying the like terms, we get

x^2 + 5x + 6.

Which is a trinomial.

So the product of two binomial is a never monomial.