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12 Terms
1
elementary algebra
In ________, factoring a polynomial reduces the problem of finding its roots to finding the roots of the factors.
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2
Factorization
________ is an important concept in mathematics and has many applications in fields such as cryptography, number theory, and algebra.
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3
Sub branch
________: Dividing the number by its factors to find prime factors.
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4
Matrices
________ possess many kinds of matrix factorizations.
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5
efficient computer algorithms
There are ________ for computing (complete) factorizations within the ring of polynomials with rational number coefficients (see factorization of polynomials)
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6
commutative ring
A(n) ________ possessing the unique factorization property is called a unique factorization domain.
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7
Factorization
________ is the process of finding the factors of a given number.
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8
Sub branch
________: Finding common factors between two or more numbers.
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9
Factorization
________ may also refer to more general decompositions of a mathematical object into the product of smaller or simpler objects.
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10
Factorization
________ is not usually considered meaningful within number systems possessing division, such as the real or complex numbers, since any { /displaystyle x }.
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11
Sub branch
________: Creating a factor tree to find prime factors.
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12
Factorization
________ was first considered by ancient Greek mathematicians in the case of integers.