Subresultant polynomial sequence of two polynomials with respect to a variable
SubresultantPolynomials[poly1, poly2, var]
SubresultantPolynomials[poly1, poly2, var, Modulus -> p]
SubresultantPolynomials[(x - 1) ^ 2(x - 2)(x - 3), (x - 1)(x - 4) ^ 2, x]
→ {0, -36 + 36*x, 38 - 49*x + 11*x^2, -16 + 24*x - 9*x^2 + x^3}SubresultantPolynomials[a x ^ 3 + b x ^ 2 + c x + d, 3 a x ^ 2 + b x + c, x]
→ {4*a^2*c^3 + 2*a*b^3*d - 18*a^2*b*c*d + 27*a^3*d^2, -2*a*b*c + 9*a^2*d - 2*a*b^2*x + 6*a^2*c*x, c + b*x + 3*a*x^2}SubresultantPolynomials[2 x ^ 7 + 3 x ^ 3 + 5x - 1, 7 x ^ 6 + 8x - 9, x]
→ {-183782157189, -761749829 + 3208696817*x, -3143546 + 11222638*x + 3838135*x^2, -21609 + 163611*x - 49392*x^2 + 64827*x^3, 0, -49 + 371*x - 112*x^2 + 147*x^3, -9 + 8*x + 7*x^6}