GCD By Hand Writing Computation
There are several ways to find the greatest common divisor of two polynomials. Two of them are:
- 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.
- 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:
“My most desire my hand may reach,
My will is alway at my hand;
Me need not long for to beseech
Her that hath power me to command.”
—Sir Thomas Wyatt (1503?–1542)
“I can hardly bring myself to caution you against drinking, because I am persuaded that I am writing to a rational creature, a gentleman, and not to a swine. However, that you may not be insensibly drawn into that beastly custom of even sober drinking and sipping, as the sots call it, I advise you to be of no club whatsoever.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“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)