Which of the following statements about closure is false?

Per new schools question and answer enquired students to express what they consider is the most crucial important concern for a student to do in order for you to achieve success. Of the many answers, one which that stood out was practice. Persons who definitely successful do not become successful by being born. They work hard and dedicate their lives to succeeding. If you tend to accomplish your goals, keep this in mind! in the following paragraphs some question and answer examples that you will be able to utilize to upgrade your knowledge and gain insight that will assist you to continue your school studies.

Question:

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.

Answer:

The correct answer is:

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

Explanation:

When you divide polynomials, there are times that one polynomial does not divide evenly by the other.  In these cases, we have a remainder, in which we have a variable in the denominator.  This remainder is not a monomial, since the variable would have a negative power (since it is in the denominator); this means the quotient is not a polynomial.

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From the answer and question examples above, hopefully, they can definitely guide the student resolve the question they had been looking for and keep in mind of most things stated in the answer above. Then would probably make some sharing in a group discussion and also study with the classmate around the topic, so another student also ought to have some enlightenment and still keeps up the school learning.

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