Fun with Polynomials!

If you multiply a trinomial by a monomial, what type of polynomial will the product be?

The product of multiplying a trinomial by a monomial will result in a:

a. a monomial

b. a binomial

c. a trinomial

d. it is not possible to determine

On e2020 it is D. Not possible to determine.

Understanding Polynomials

Polynomials are mathematical expressions consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Trinomials are polynomials with three terms, while monomials have only one term.

When you multiply a trinomial by a monomial, you will distribute the monomial to each term of the trinomial. The result will be a new polynomial with terms that are the product of each term in the trinomial and the monomial. The number of terms in the resulting polynomial will depend on the number of terms in the original trinomial.

In this case, since the number of terms in the product cannot be determined without specific values for the variables, the correct answer is that it is not possible to determine the type of polynomial that will result.

So, the answer to the question is d. it is not possible to determine.

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