Answer
$(4x-3)(2x-5)$
Work Step by Step
The two numbers whose product is $ac=
8(15)=120
$ and whose sum is $b=
-26
$ are $\{
-6,-20
\}$. Using these two numbers to decompose the middle term, then the factored form of the expression, $
8x^2-26x+15
$, is
\begin{array}{l}\require{cancel}
8x^2-6x-20x+15
\\\\=
(8x^2-6x)-(20x-15)
\\\\=
2x(4x-3)-5(4x-3)
\\\\=
(4x-3)(2x-5)
.\end{array}
