Question 183
Determine all integers $n \ge 3$ such that the polynomial
$$
W(x) = x^n - 3x^{n-1} + 2x^{n-2} + 6
$$
can be expressed as a product of two polynomials with positive degrees and integer coefficients.
$$
W(x) = x^n - 3x^{n-1} + 2x^{n-2} + 6
$$
can be expressed as a product of two polynomials with positive degrees and integer coefficients.