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Closure depends on the set as much as it depends on the operation.

For example, subtraction is closed for all integers but not for natural numbers. Division by a non-zero number is closed for the rational numbers but not integers.

The set {1, 2, 3} is not closed under addition.

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2015-07-11 10:24:29
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What binary operations have closure?
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Related questions

How can closure help understand the type of solution you might expect with operations?

If a set has closure with regards to certain operations then any solution that is obtained using those operations must belong to that set.

How do you perform arithmetic operations on binary numbers?

There are a few rules to perform arithmetic operations in binary numbers. According to those rules you can add or subtract binary numbers. There are only two arithmetic operations used in binary numbers, they are addition and subtraction.

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Commutativity is a property of binary operations. A fact is not a binary operator.

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It already has; binary.

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