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:

    And if any mischief follow, then thou shalt give life for life, eye for eye, tooth for tooth, hand for hand, foot for foot, burning for burning, wound for wound, stripe for stripe.
    Bible: Hebrew Exodus 21:23.

    Romance reading and writing might be seen ... as a collectively elaborated female ritual through which women explore the consequences of their common social condition as the appendages of men and attempt to imagine a more perfect state where all the needs they so intensely feel and accept as given would be adequately addressed.
    Janice A. Radway (b. 1949)

    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)