Let p be a certain prime number. Find all non-negative integers n for which polynomial P(x)=x4-2(n+p)x2+(n-p)2 may be rewritten as product of two quadratic polynomials with integer coefficients.
Either: n=p
Or: n = t ^2, where t is any nonnegative integer
correspond to all possible solutions to the equation under reference.
**** I sincerely hope to posit an independent detailed solution of my own.
Puzzle Answer
