Answer
$(2x-5)(x-1)$.
Work Step by Step
The given polynomial is
$=2x^2-7x+5$
Rewrite $-7x$ as $-5x-2x$.
$=2x^2-5x-2x+5$
Group the terms.
$=(2x^2-5x)+(-2x+5)$
Factor each group.
$=x(2x-5)-1(2x-5)$
Factor out $(2x-5)$.
$=(2x-5)(x-1)$
Hence, the factor of the polynomial is $(2x-5)(x-1)$.
