Answer
$(2x-5)(3x+7)$
Work Step by Step
The $2$ numbers whose product is $ac=
6(35)=210
$ and whose sum is $b=
-1
$ are $\{
-15,14
\}$. Using these two numbers to decompose the middle term of the given expression, $
6x^2-x-35
,$ then the factored form is
\begin{array}{l}\require{cancel}
6x^2-15x+14x-35
\\\\=
(6x^2-15x)+(14x-35)
\\\\=
3x(2x-5)+7(2x-5)
\\\\=
(2x-5)(3x+7)
.\end{array}
