Question

The 4 distinct zeros of p(x)=x^4-Ax^2+255 have absolute values which are prime. Find A.

Answer 1

(x + m)(x - m)(x + n)(x - n) = (x^2 - m^2)(x^2 - n^2) = x^4 - (m^2 + n^2) x + (m^2 n^2)

255 has to be the product of two primes squared ... it isn't

something is amiss...