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Factor[1+x^4]


I would like to factor 1+x^4.   Mathematica 3 will only respond with
In[1]:= Factor[1+x^4]
Out[2]= 1+x^4


    Other systems will give the complex result

1+x^4 = (x+1/2*Sqrt(2)*I+1/2*Sqrt(2))*
        (x+1/2*Sqrt(2)*I-1/2*Sqrt(2))*
        (x-1/2*Sqrt(2)*I+1/2*Sqrt(2))*
        (x-1/2*Sqrt(2)*I-1/2*Sqrt(2))


    How would I factor 1+x^4 with Mathematica




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