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.

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