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### Division by factorized polynomials in Macaulay2

I have this problem dividing by factorized polynomials, for example (x_1^4-x_2^4)//(factor(x_1^2-x_2^2)) does not work because the numerator is of "class R" (R is the ring kk[x_1..x_n]) and the ...
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I would like to solve overdetermined, homogeneous linear systems of equations with multivariate polynomial coefficients, i.e., $Ap=0$ with $A$ an $m\times n$ matrix, $m\gg n$, and $a_{i,j} \in ... 1answer 67 views ### Computing univariate resultant via modified Euclidean algorithm In an answer to the question Resultant of Two Univariate Polynomials, a PDF of course slides was linked which describes a modification of Euclid's algorithm for computing univariate polynomial ... 1answer 70 views ### Resultant of Two Univariate Polynomials I am trying to implement an algorithm for computing Res(f(x),g(x),x) where f(x) and g(x) uni variate polynomials with integer coefficients. Could any one list the various algorithms for computing ... 1answer 173 views ### Symbolic polynomial interpolation I'm trying to create polynomials from some symbolic points to discretize derivations. This means I'm having data like$(a, \phi(a)),\ (b, \phi(b) ) $and$(c, \phi(c))$and want to fit a second order ... 1answer 148 views ### How to factorize$4x^4+12x^{10/3} y^{2/3}+ \dots \$?

Does anyone know how to factorize the following expression: $$4x^4+12x^{10/3} y^{2/3}+33x^{8/3} y^{4/3}+46x^2 y^2+33x^{4/3} y^{8/3}+12x^{2/3} y^{10/3}+4 y^4$$ ?