[tex]x^2-4x+5[/tex]
The equation cannot be factored.
Let's expand the options:
[tex](x + 5)(x - 1)=x^2+4x-5[/tex]
[tex](x - 5)(x - 1)=x^2-6x+5[/tex]
[tex](x + 5)(x + 1)=x^2+6x+5[/tex]
None of the answers match.
Therefore, if the expression cannot be factored it is said to be prime