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:
“Olivia. Is’t not well done?
Viola. Excellently done, if God did all.
Olivia. ‘Tis in grain, sir, ‘twill endure wind and weather.
Viola. ‘Tis beauty truly blent, whose red and white
Nature’s own sweet and cunning hand laid on.”
—William Shakespeare (1564–1616)
“For your writing and reading, let that appear when there is no need of such vanity.”
—William Shakespeare (1564–1616)
“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)