Returns the pseudo-remainder of $f$ by $g$, viewed as univariate polynomials in x.
i1 : R = QQ[x,y]; |
i2 : f = x^4 4 o2 = x o2 : R |
i3 : g = x^2*y + 13*x^2*y^4 +x*y^2-3*x - 1 2 4 2 2 o3 = 13x y + x y + x*y - 3x - 1 o3 : R |
i4 : pseudoRemainder(x,f,g) 27 6 87 4 2 3 14 4 27 2 6 6 2 27 1 9 o4 = - ----x*y + ----x*y - ----x*y + ----y - ----x*y + ----x*y - ----y + ----x + ----y + ---- 2197 2197 2197 2197 2197 2197 2197 2197 2197 2197 o4 : R |
i5 : pseudoRemainder(y,f,g) 4 o5 = x o5 : R |