Hi Ryan;
x^{2}+ax32
I believe the question is all integers which can be inserted for a in the following FOIL...
(x+??)[x+(?)] or [x+(??)](x+?)
Let's first work with the number 32.
This can be...
(8)(4)
(8)(4)
(16)(2)
(16)(2)
(32)(1)
(32)(1)
To provide an example...
The first FOIL would be...
(x+8)(x4)
FIRST...(x)(x)=x^{2}
OUTER...(x)(4)=4x
INNER...(8)(x)=8x
LAST...(8)(4)=32
x^{2}+8x4x32
x^{2}+4x32
a=4
If I understand the question correctly, all integers are...
31, 14, 4, 4, 14, 31
10/21/2013

Vivian L.