Answer
$(q-7)(q-4)$
Work Step by Step
We try to find factors of c in $x^2+bx+c$ that add to negative b,
In this case...
$q^2-11q+28$
$q^2-7q-4q+28$
$q(q-7)-4(q-7)$
$(q-7)(q-4)$
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