Answer
The factor of the given polynomial is $(2x-9)(x-1)$.
Work Step by Step
The given polynomial is
$=2x^2-11x+9$
Rewrite $-11x$ as $-9x-2x$.
$=2x^2-9x-2x+9$
Group the terms.
$=(2x^2-9x)+(-2x+9)$
Factor each group.
$=x(2x-9)-1(2x-9)$
Factor out $(2x-9)$.
$=(2x-9)(x-1)$
Hence, the factor of the given polynomial is $(2x-9)(x-1)$.
