Answer
$(4x-1)(2x-7)$
Work Step by Step
In accordance with the rules of factoring trinomials, we need to find two integers whose product is $56$ and whose sum is $-30$. A little searching determines that these numbers are $-2$ and $-28$. Therefore, we can express the middle term $-30x$ as $(-2x-28x)$ and proceed to factoring by grouping:
$8x^{2}-30x+7$
=$8x^{2}-2x-28x+7$
=$2x(4x-1)-7(4x-1)$
=$(4x-1)(2x-7)$