Explanation:
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is
where x represents a variable, and a, b, and c, constants, with a ≠ 0. (If a = 0, the equation becomes a linear equation.)
The constants a, b, and c, are called respectively, the quadratic coefficient, the linear
coefficient and the constant term or free term. The term "quadratic" comes from quadratus, which is the Latin word for "square". Quadratic equations can
be solved by factoring, completing the square, graphing, Newton's method, and
using the quadratic formula
http://en.wikipedia.org/wiki/Quadratic_equation
In mathematics, factorization (also factorization 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.
The aim of factoring is usually to reduce something to "basic
building blocks," 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. The opposite of polynomial
factorization is expansion, the
multiplying together of polynomial factors to an "expanded" polynomial,
written as just a sum of terms.
A
visual illustration of the polynomial
x^{2} + 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).
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.