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Replies: 13   Last Post: Nov 23, 2012 6:11 PM

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 Nasser Abbasi Posts: 6,677 Registered: 2/7/05
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

Date Subject Author
11/22/12 Tang Laoya
11/22/12 Nasser Abbasi
11/22/12 Nasser Abbasi
11/22/12 Tang Laoya
11/22/12 Nasser Abbasi
11/22/12 Tang Laoya
11/22/12 Nasser Abbasi
11/22/12 Tang Laoya
11/22/12 Tang Laoya
11/22/12 Nasser Abbasi
11/22/12 Tang Laoya
11/23/12 Peter Pein
11/23/12 Tang Laoya
11/23/12 Richard Fateman