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Integer Identification (
Posted on 20150214
)
Find all integer values of p such that x
^{3}
+ 2x + p divides:
x
^{12}
 x
^{11}
+ 3x
^{10}
+ 11x
^{3}
 x
^{2}
+ 23x + 30.
No Solution Yet
Submitted by
K Sengupta
Rating:
3.5000
(2 votes)
Comments: (
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)
Another way to narrow the field
Comment 3 of 3 
If x = i*sqrt(2), then substituting gives us
p must divide 33*i*sqrt(2).
I think this implies that p must be 1, 3 11, 33, 1, 3, 11 or 33.
Of course, we now know that p = 3.
Posted by
Steve Herman
on 20150214 21:39:20
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