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Example:Factorize the Quadratic

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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.






Factorization of polynomials


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








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).



The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.