perplexus.info :: Just Math : Integer Identification

Integer Identification (Posted on 2015-02-14)

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)

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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 2015-02-14 21:39:20

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