Answer
$8(x-1)(x-6)$.
Work Step by Step
The given polynomial is
$=8x^2-56x+48$
Factor out $8$.
$=8(x^2-7x+6)$
Rewrite $-7x$ as $-6x-x$.
$=8(x^2-6x-x+6)$
Group the terms.
$=8[(x^2-6x)+(-x+6)]$
Factor each group.
$=8[x(x-6)-1(x-6)]$
Factor out $(x-6)$.
$=8(x-6)(x-1)$
Hence, the factor of the polynomial is $8(x-1)(x-6)$.
