Answer
$(3x-2)(4x-3)$
Work Step by Step
The two numbers whose product is $ac=
12(6)=72
$ and whose sum is $b=
-17
$ are $\{
-8,-9
\}$. Using these two numbers to decompose the middle term, then the factored form of the expression, $
12x^2-17x+6
$, is
\begin{array}{l}\require{cancel}
12x^2-8x-9x+6
\\\\=
(12x^2-8x)-(9x-6)
\\\\=
4x(3x-2)-3(3x-2)
\\\\=
(3x-2)(4x-3)
.\end{array}
