Which of the following statements about closure is false?

A. Polynomials are closed under addition. When you add polynomials, the result

will always be a polynomial.

B. Polynomials are closed under subtraction. When you subtract polynomials, the result will always be a polynomial.

C. Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.

D. Polynomials are closed under multiplication. When you multiply polynomials, the result will always be a polynomial.

Question

Eliana Robertson

Mathematics

22 September, 01:07

Which of the following statements about closure is false?

A. Polynomials are closed under addition. When you add polynomials, the result

will always be a polynomial.

B. Polynomials are closed under subtraction. When you subtract polynomials, the result will always be a polynomial.

C. Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.

D. Polynomials are closed under multiplication. When you multiply polynomials, the result will always be a polynomial.

+2

Answers (1)

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Brynn Riddle · Answer 1

The correct answer for the question that is being presented above is this one: "C. Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial." Polynomials are NOT closed under division.