Explanation:
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 x^{2} − 4 factors as (x − 2) (x + 2). In all cases, a product
of simpler objects is obtained.
Polynomials
Quadratic polynomials
Any quadratic polynomial over the complex numbers (polynomials of the form ax^{2} + b x + c where a, b, and c ∈ ) can be factored into an expression with the form using the quadratic formula.
where α and β are the two roots of the polynomial, found with
the quadratic formula.
Perfect square trinomials
A
visual illustration of the identity (a + b)^{2} = a^{2} + 2ab + b^{2}
Some
quadratics can be factored into two identical binomials. These quadratics are
called perfect square trinomials. Perfect square trinomials can be factored as
follows:
(Our solved example in mathguru.com uses
this concept)
and
http://en.wikipedia.org/wiki/Factorization
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.