Question 58
For any positive integer $n$, determine (with proof) if the polynomial
$$
f(x) = (x^2 + x)^{2n} + 1
$$
can be factored into a product of two non-constant polynomials with integer coefficients.
$$
f(x) = (x^2 + x)^{2n} + 1
$$
can be factored into a product of two non-constant polynomials with integer coefficients.