How do you factor x squared plus 2?

Answer 1

The factors have imaginary numbers. Let x2 + 2 = 0, so x2 = -2 and x = sqrt(-2) and x = -sqrt(-2)

With i defined as sqrt(-1), we have factorization of (x + i *sqrt(2))*(x - i *sqrt(2))

Answer 2

Only one way that is sensible for our purposes.

X2 + 2X

X(X + 2)

-----------