Greatest Common Divisor of Two Polynomials - GCD By Hand Writing Computation

GCD By Hand Writing Computation

There are several ways to find the greatest common divisor of two polynomials. Two of them are:

  1. Factorization, in which one finds the factors of each expression, then selects the set of common factors held by all from within each set of factors. This method may be useful only in very simple cases, as, like for the integers, factoring is usually much more difficult than computing the greatest common divisor. Moreover, there are fields of coefficient for which there is no factorization algorithm, while Euclidean algorithm always exists.
  2. The Euclidean algorithm, which can be used to find the GCD of two polynomials in the same manner as for two numbers.

Read more about this topic:  Greatest Common Divisor Of Two Polynomials

Famous quotes containing the words hand, writing and/or computation:

    Be it so, for I submit; his doom is fair,
    That dust I am and shall to dust return.
    O welcome hour whenever! Why delays
    His hand to execute what his decree
    Fixed on this day? Why do I overlive?
    Why am I mocked with death, and lengthened out
    To deathless pain? How gladly would I meet
    Mortality, my sentence, and be earth
    Insensible! how glad would lay me down
    As in my mother’s lap!
    John Milton (1608–1674)

    Every writing career starts as a personal quest for sainthood, for self-betterment. Sooner or later, and as a rule quite soon, a man discovers that his pen accomplishes a lot more than his soul.
    Joseph Brodsky (b. 1940)

    I suppose that Paderewski can play superbly, if not quite at his best, while his thoughts wander to the other end of the world, or possibly busy themselves with a computation of the receipts as he gazes out across the auditorium. I know a great actor, a master technician, can let his thoughts play truant from the scene ...
    Minnie Maddern Fiske (1865–1932)