Question 98
Examine if the polynomial
$$
P(x) = (x^{2} - 2x + 5)(x^{2} - 4x + 20) + 1,
$$
can be written as the product of two polynomials with integer coefficients of degree greater than 0.
$$
P(x) = (x^{2} - 2x + 5)(x^{2} - 4x + 20) + 1,
$$
can be written as the product of two polynomials with integer coefficients of degree greater than 0.