The closure property under subtraction is shown when the correct
result from the subtraction of polynomials is also a polynomial.
Response:
- The option that shows that polynomials are closed under subtraction is; <u>3·x² - 2·x + 5 will be a polynomial</u>.
<h3>How is the option that shows the closure property found?</h3>
The closure property under subtraction for the polynomials is condition
in which the result of the difference between two polynomials is also a
polynomial.
The given polynomials being subtracted is presented as follows;
(5·x² + 3·x + 4) - (2·x² + 5·x - 1)
Which gives;
(5·x² + 3·x + 4) - (2·x² + 5·x - 1) = 3·x² - 2·x + 5
Given that the result of the subtraction, 3·x² - 2·x + 5, is also a
polynomial, we have, that the option that shows that polynomials are
closed under subtraction is; <u>3·x² - 2·x + 5 will (always) be a polynomial</u>.
Learn more about closure property here:
brainly.com/question/4334406
