Question 973472
Could you help me factor the polynomial t2 + 4z2 and explain how it's done?
------
That's not factorable, it's prime.
Most polynomials are prime, ie, they cannot be factored using integers.
eg, x^2 + 4, x^2 + 5, etc.  x^2 + k if k is positive is prime.
Saying x^2 + 5 = (x + isqrt(5))*(x - isqrt(5)) implies that there are no prime polynomials.
PS  {{{i = sqrt(-1)}}}
---
A sum of 2 squares cannot be factored in general.
A difference of 2 squares can be.