Answer
$(a-11)(a-2)$
Work Step by Step
We try to find factors of c in $x^2+bx+c$ that add to negative b,
In this case...
$a^2-13a+22$
$a^2-11a-2a+22$
$a(a-11)-2(a-11)$
$(a-11)(a-2)$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.