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polynomials are closed under subtraction. what does that mean? when two polynomials are subtracted, the result is a monomial. subtracting polynomials always results in a polynomial. subtracting polynomials never results in a polynomial. polynomials cannot be subtracted.
Closure property means that when an operation is performed on elements of a set, the result is also in that set. For polynomials under subtraction, it means subtracting two polynomials gives another polynomial. It doesn't have to be a monomial.
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Subtracting polynomials always results in a polynomial.