Question 1161407
You pick the linear factors that you want.  A possible way to get what you want is, the constant term in at least one of them needs to be any non-integer.


{{{(x-a)(x-b)=0}}}
If a and b are integers, then the solution is the integer a or the integer b.  


If a OR b, OR both are not integers, then the solution is NOT integer.


You can pick for a, or b, or both, irrational numbers, or any RATIONAL number not equal to an integer.