Assessment of integer roots
Note the polynomial form P(x) = x2 - a. And, note that the two linear factors ( x + a ) ( x - a ), when multiplied together, yield ( x + a ) ( x - a ) = x2 - a. Consequently, we note that an equation of the form x2 - a= 0 can be factored as ( x + a ) ( x - a ) = 0, giving the two zeros of our equation x = a, -