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