x2 + 4x + 6 can not be factored.
If you want, you can reduce it to an expression with a single x term by comleting the square:
x2 + 4x + 6
= x2 + 4x + 4 + 2
= (x + 2)2 + 2
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(x+4) (x+6)
x2 + 4x - 60 factors into (x + 10)(x - 6). You can use the FOIL method to check your answers when you factor.
6
x2+4x-12 = (x-2)(x+6) when factored
x2 + x - 6 = (x + 3)(x - 2)