Question 405440
It doesn't factor over the integers because the only factors of 5 are +-5, +-1. You could factor based on the roots of the equation:


{{{x = (-2 +- sqrt(4 - 20))/2 = (-2 +- 4i)/2 = -1 +- 2i}}}


The only factorization of this quadratic is {{{(x - (-1 + 2i))(x - (-1 - 2i))}}}.