Answer
$6(x^2+2x-1)$
Work Step by Step
$6x2+12x-6\longrightarrow$ 6 is a common factor.
=$6(x^2+2x-1)$
=$6(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$6(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$
=$6(x+\ \ )(x-\ \ )$ The factors of -1 must have unlike signs.
=There are no 2 numbers that have a sum of 2 and a product of -1 so no further factoring is possible.