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Integer Identification (Posted on 2015-02-14) Difficulty: 3 of 5
Find all integer values of p such that x3 + 2x + p divides:
x12 - x11 + 3x10 + 11x3 - x2 + 23x + 30.

No Solution Yet Submitted by K Sengupta    
Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
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 2015-02-14 21:39:20
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