Question

Polynomials are closed under the operation of subtraction.

Which statement best explains the meaning of closure of polynomials under the operation of subtraction?


A. When any two polynomials are subtracted, the coefficients of like terms are always subtracted.

B. When any two polynomials are subtracted, the result is always a polynomial with negative coefficients.

C. When any two polynomials are subtracted, the result is always a polynomial.

D. When any two polynomials are subtracted, the result is always a monomial or a binomial.

Answer 1

A polynomial is an expression consisting of variables and coefficients, that involves the operations of addition, subtraction, multiplication .

polynomials are closed under the operations of addition, subtraction, and multiplication.

Polynomials will be closed under an operation if the operation produces another polynomial.

The statement that best explains the meaning of closure of polynomials under the operation of subtraction is

option C. When any two polynomials are subtracted, the result is always a polynomial.

Answer 2

Answer: Option C. When any two polynomials are subtracted, the result is always a polynomial.