Answer
$-(11d-9)(2d-1)$.
Work Step by Step
The given polynomial is
$=-22d^2+29d-9$
Factor out $-1$.
$=-(22d^2-29d+9)$
Rewrite $-29d$ as $-18d-11d$.
$=-(22d^2-18d-11d+9)$
Group the terms.
$=-[(22d^2-18d)+(-11d+9)]$
Factor each group.
$=-[2d(11d-9)-1(11d-9)]$
Factor out $(11d-9)$.
$=-(11d-9)(2d-1)$
Hence, the factor of the polynomial is $-(11d-9)(2d-1)$.