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 Post to:   # Factorization

In mathematics, 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 × 5, and the polynomial x2 − 4 factors as (x − 2) (x + 2).

The aim of factoring is usually to reduce something to "basic building blocks," such as numbers to prime numbers, or polynomials to irreducible polynomials.

http://en.wikipedia.org/wiki/Factorization#Polynomials

Factorization of polynomials

In mathematics and computer algebra, polynomial factorization refers to factoring a polynomial into irreducible polynomials over a given field.

http://en.wikipedia.org/wiki/Factorization_of_polynomials A visual illustration of the polynomialx2 + c x + d = (x + a) (x + b) where a plus b equals c and a times b equals d. (Our solved example in mathguru.com uses this concept).