Question
What does it mean that polynomials are closed under subtraction?
Group of answer choices
When subtracting any two polynomials, the result will always be a polynomial.
When subtracting certain polynomials, the results will be undefined.
Changing the order of subtraction for polynomials will not change the results.
Any two polynomials can be subtracted.
Group of answer choices
When subtracting any two polynomials, the result will always be a polynomial.
When subtracting certain polynomials, the results will be undefined.
Changing the order of subtraction for polynomials will not change the results.
Any two polynomials can be subtracted.
Answers
GPT-4o mini
The correct answer is:
**When subtracting any two polynomials, the result will always be a polynomial.**
This means that if you take any two polynomials and subtract one from the other, the result will still be a polynomial. This property is part of what we mean when we say that the set of polynomials is "closed" under the operation of subtraction.
**When subtracting any two polynomials, the result will always be a polynomial.**
This means that if you take any two polynomials and subtract one from the other, the result will still be a polynomial. This property is part of what we mean when we say that the set of polynomials is "closed" under the operation of subtraction.