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Polynomial problem (Posted on 2015-03-22) Difficulty: 3 of 5
Find all integers n ≥ 3 for which the polynomial

W(x) = x^n - 3x^(n-1) + 2x^(n-2) + 6

can be written as a product of two non-constant polynomials with integer coefficients.

No Solution Yet Submitted by Danish Ahmed Khan    
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oddly enough | Comment 1 of 2
When n is odd, x=-1 makes W(x)=0 which means (x+1) factors W(x).
  Posted by xdog on 2015-03-22 15:35:27
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