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.

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