Question: 4 linear factors

Hi all,

I am hoping to use Maple to develop a list of 4 distinct linear factors with the following conditions...

1)  each individual factor does not have a common integer factor...  ie...  3x+9 is not permitted

2)  the coefficients in each individual factor has an integer between (-9 and 9) without the possibility of zero...  ie x + 0 and 0*x +3 are not permitted

3) each seperate factor is prime to one-another.  ie.  factor1=3x+4  and factor2=-3x-4 is not permitted.

I was hoping to use something short and sweet, using a sequence (if possible), but continue to run into problems.

Any help out there would be fantastic

Thanks,

Mark

 

 

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