In mathematics,

The aim of

The opposite of polynomial factorization is expansion, the multiplying together of polynomial factors to an â€œexpandedâ€ polynomial, written as just a sum of terms.

Integer

A matrix can also be

Another example is the

You can factor numbers/frequencies here:

Wolfram Mathematica, Factoring

See Also

**factorization**(also**factorisation**in British English) or**factoring**is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into primes as 3 Ã— 5, and the polynomial x^{2}âˆ’ 4 factors as (x âˆ’ 2)(x + 2). In all cases, a product of simpler objects is obtained.The aim of

**factoring**is usually to reduce something to â€œbasic building blocksâ€ (least common denominator), such as numbers to prime numbers, or polynomials to irreducible polynomials.**Factoring**integers is covered by the fundamental theorem of arithmetic and factoring polynomials by the fundamental theorem of algebra. ViÃ¨te's formulas relate the coefficients of a polynomial to its roots.The opposite of polynomial factorization is expansion, the multiplying together of polynomial factors to an â€œexpandedâ€ polynomial, written as just a sum of terms.

Integer

**factorization**for large integers appears to be a difficult problem. There is no known method to carry it out quickly. Its complexity is the basis of the assumed security of some public key cryptography algorithms, such as RSA.A matrix can also be

**factorized**into a product of matrices of special types, for an application in which that form is convenient. One major example of this uses an orthogonal or unitary matrix, and a triangular matrix. There are different types: QR decomposition, LQ, QL, RQ, RZ.Another example is the

**factorization**of a function as the composition of other functions having certain properties; for example, every function can be viewed as the composition of a surjective function with an injective function. This situation is generalized by**factorization**systems. Wikipedia, FactoringYou can factor numbers/frequencies here:

Wolfram Mathematica, Factoring

See Also

**Aliquot****Fast Fourier Transform****Figure 8.14 - Some Basic Waveforms and their constituent Aliquot Parts****Finite Element Analysis****Fundamental****Graduation****Harmonicity****Harmonic****Interval****Modal Analysis****Music****Note****Overtone****Overtone Series****Partial**