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trinomials that are prime over the set of rational numbers will NOT factor.
A Tinomial ax^2 + bx + c 'will factor' if (b^2-4ac)is a perfect square or zero.
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What set of numbers does -11 belong to?
rational and prime numbers
Is the intersection of the set of rational numbers and the set of whole numbers is the set of rational numbers?
No, it is not.
Are natural numbers the same of rational numbers?
The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.
A set of numbers combining rational and irrational numbers?
The Real numbers
What is set of rational numbers union with integers?
It is the rational numbers.
What set of numbers does -11 belong to?
rational and prime numbers
What set of numbers does 31 belong to?
It belongs to the set of prime numbers
Is the intersection of the set of rational numbers and the set of whole numbers is the set of rational numbers?
No, it is not.
Can a greatest common factor be a rational number?
All factors are whole numbers and all whole numbers are rational numbers (a rational number is one which can be expressed as one integer over another integer, and whole numbers can be expressed as themselves over 1), thus all factors are rational numbers and so all greatest common factors are rational numbers. The set of whole numbers is a [proper] subset of the set of rational numbers: ℤ ⊂ ℚ
What set of numbers does - 5 belong to?
The integers. Also: the rational numbers, the real numbers and (depending on your definition) the complex numbers.
Are natural numbers the same of rational numbers?
The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.
Are integers in a set of rational numbers?
Yes - the set of integers is a subset of the set of rational numbers.
A set of numbers combining rational and irrational numbers?
The Real numbers
What are examples of infinity sets?
Many infinite sets appear in mathematics: the set of counting numbers; the set of integers; the set of rational numbers; the set of irrational numbers; the set of real numbers; the set of complex numbers. Also, certain subsets of these, such as the set of square numbers, the set of prime numbers, and others.
What is set of rational numbers union with integers?
It is the rational numbers.
Does a real number contain the set of rational numbers?
No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.
How are rational numbers and integal numbers related to set of real numbers?
Both rational numbers and integers are subsets of the set of real numbers.
