SOLUTION: factor x^2+2x+5 please solve it

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Question 405440: factor
x^2+2x+5
please solve it
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
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+=+%28-2+%2B-+sqrt%284+-+20%29%29%2F2+=+%28-2+%2B-+4i%29%2F2+=+-1+%2B-+2i

The only factorization of this quadratic is %28x+-+%28-1+%2B+2i%29%29%28x+-+%28-1+-+2i%29%29.