Question

If you multiply two binomials together, what type of polynomial will the product be? A. a monomial B. a binomial C. a trinomial D. it is not possible to determine

Please help me I don't really understand this Question.

Answer 1

The answer is D , it is not possible to determine.

Answer 2

Option: D is the correct answer.

D. it is not possible to determine

Explanation:

We know that a binomial is a polynomial with two terms and the polynomial may be of any degree and may contain at most 4 terms i.e. it may be a binomial, trinomial or a polynomial with four terms.

a)

`(x-2)(x+4)=x^2+2x-8`

We get a trinomial

b)

`(x^2-4)(x^3+1)=x^5+x^2-4x^3-4`

Hence, we get a polynomial with four terms.

c)

`(x-1)(x+1)=x^2-1`

Now we got a binomial.

Hence, the best possible answer is:

D. it is not possible to determine