(x2 means x squared)Why/how does x2 - 4x + 5 become factored as (x - (2 + i))(x - (2 - i))?

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Sofia -Use the quadratic equation (a=1, b=-4 and c=5) and you will get two complex solutions for x.  You can re-write those two roots as factors:(x - r1)(x - r2), where r1 and r2 are the two roots you found using the quadratic equation.Hope that helps