Question 38
Prove that for all positive integers $n$, the polynomial
$$
P(x) = (x^2 - 7x + 6)^{2n} + 13
$$
can not be written as a product of $(n+1)$ non-constant polynomials with integer coefficients.
$$
P(x) = (x^2 - 7x + 6)^{2n} + 13
$$
can not be written as a product of $(n+1)$ non-constant polynomials with integer coefficients.