Question

Which operation is NOT closed for polynomials?

A) add a trinomial to a trinomial
B) divide a binomial by a trinomial
C) multiply a binomial by a binomial
D) subtract a binomial from a trinomial

Answer 1

Option B is the correct choice.

Explanation:

Since we know that polynomials are closed under addition, subtraction and multiplication but not under division because division of two polynomials is not necessarily a polynomial.

Dividing a binomial by a trinomial will result in a rational expression and it will have negative exponent. Negative exponents are not allowed in polynomials.

Therefore, option B is the correct choice.