Question 138
Find all polynomials $P(x)$ with integer coefficients such that the polynomial
$$
Q(x) = (x^2 + 6x + 10)[P(x)]^2 - 1
$$
is the square of a polynomial with integer coefficients.
$$
Q(x) = (x^2 + 6x + 10)[P(x)]^2 - 1
$$
is the square of a polynomial with integer coefficients.