Can you reduce polynomials

Such as prenex normal form for first-order formulae. Otherwise Cardano must have been groping in the dark for a long time. If you followed the line of thinking in this post, you would see that it is very natural to try what Cardano did, because it is in some sense exactly the same as the previous step, where the common goal is to cancel the next highest power. In fact, that's precisely how I remember the trick.

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Linked 2. Related Hot Network Questions. Question feed. Mathematics Stack Exchange works best with JavaScript enabled. Open Mobile Search. Off-Canvas Navigation Menu Toggle. Main Content. Examples collapse all Divide Two Polynomials. Specify Polynomial Variables. Reduce Polynomial by Several Polynomials. Specify Term Order of Polynomials. Input Arguments collapse all p — Polynomial to divide symbolic expression symbolic function. Polynomial to divide, specified as a symbolic expression or function.

Polynomial variables, specified as a vector of symbolic variables. MonomialOrder — Monomial order of divisors 'degreeInverseLexicographic' default 'degreeLexicographic' 'lexicographic'. Output Arguments collapse all r — Remainder of polynomial division symbolic polynomial.

Remainder of polynomial division, returned as a symbolic polynomial. More About collapse all Polynomial Reduction Polynomial reduction is the division of the polynomial p by the divisor polynomials d 1 , d 2 , …, d n. See Also eliminate gbasis polynomialDegree. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. How are polynomials mod m reduced? Ask Question. Asked 10 years, 3 months ago.

Active 10 years, 3 months ago. Viewed 4k times. Do remember that you are not allowed to reduce the exponents, though. The exponents are usual integers, but the coefficients of the polynomial are treated as residue classes modulo your favorit modulus.