Algorithms for polynomial computation over finite fields ... multiplication, and division (except by zero) are defined and behave analogously to those in the field of real numbers.

Nor have I found any use for long division with polynomials. My kids have done ... “The long division algorithm (LDA) is an example of what a colleague of mine referred to as ‘mindless ...

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Now, Babai has taken what appears to be a major step forward in pinning down the problem’s difficulty level, by setting forth what he asserts is a “quasi-polynomial-time” algorithm to solve it.

Division algorithm for polynomials: It states that that given any polynomial p(x) and any non-zero polynomial g(x), there are polynomials q(x) and r(x) such that p(x) = g(x)q(x) + r(x), where r(x ...