
Re: Another question about Factor
Posted:
Nov 22, 2012 10:51 AM


On 11/22/2012 9:19 AM, Tang Laoya wrote: > Dear all, > > I need to factor a polynomial express, however, it doesn't work, could anyone help >me to take a look at it? >
> > The code: > > vv = Det[{{1, 1, 1, 1}, {x1, x2, x3, x4}, {y1, y2, y3, y4}, {z1, z2, > z3, z4}}];
It is order one multivariate polynomial in x_i's, y_i's and z_i's and unity coefficients on all the terms.
In[22]:= vv = Det[{{1, 1, 1, 1}, {x1, x2, x3, x4}, {y1, y2, y3, y4}, {z1, z2, z3, z4}}]
Out[22]= x3*y2*z1  x4*y2*z1  x2*y3*z1 + x4*y3*z1 + x2*y4*z1  x3*y4*z1  x3*y1*z2 + x4*y1*z2 + x1*y3*z2  x4*y3*z2  x1*y4*z2 + x3*y4*z2 + x2*y1*z3  x4*y1*z3  x1*y2*z3 + x4*y2*z3 + x1*y4*z3  x2*y4*z3  x2*y1*z4 + x3*y1*z4 + x1*y2*z4  x3*y2*z4  x1*y3*z4 + x2*y3*z4
In[38]:= PolynomialQ[vv,{x1,x2,x3,x4,y1,y2,y3,y4,z1,z2,z3,4}] Out[38]= True
In[35]:= IrreduciblePolynomialQ[vv] Out[35]= True
In[36]:= IrreduciblePolynomialQ[vv,Extension>All] Out[36]= True
What Factors were you looking for? Tried in Maple also. Same result.
Nasser

