Answer
$(y-11)^2$
Work Step by Step
The given polynomial is
$\Rightarrow y^2-22y+121$
Write the the polynomial as $a^2-2ab+b^2$.
$\Rightarrow y^2-2(y)(11)+11^2$.
Use perfect square trinomial pattern $a^2-2ab+b^2=(a-b)^2$.
We have $a=y$ and $b=11$.
$\Rightarrow (y-11)^2$.
Hence, the factor of the polynomial is $(y-11)^2$.
