Polynomial Factorization
July 14th, 2010
The factors of an algebraic equation consists of two or more algebraic expressions which, when multiplied together, por4duce the given algebraic expression.
What is factorization?
Factorization is an act of expressing (or factorize) an integer or polynomial as a product of certian of its factors.
For example, x 2 - 1 can be factorized as (x+1)(x-1).
The factorization of x 2 - 1 is (x+1)(x-1).
Similarly, the factorization of x 2 – 4 is (x-2)(x+2).
What is a prime factor?
A prime factor is a polynomial which no factors other than itself and 1.
What is the least common multiple for a set of numbers?
The least common multiple for a set of numbers is the smallest quantity divisible by every number of the set. For algebraic equations, the least common multiple is the polynomial of lowest degree and smallest numerical coefficients for which each of the given expressions will be a factor.
What is the greatest common multiple for a set of numbers?
The greatest common factor for a set of numbers is the largest factor that is common to all members of the set. For algebraic equations, the greatest common factor is the ploynomial of highest degree and largest numerical coefficients which is a factor of all the given expressions.
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