Answer
$(5q+2)(2q+1)$
Work Step by Step
Rewrite 9q as 5q + 4q
$10q^{2} + 9q + 2 = 10q^{2} + 5q + 4q +2$
Factor out GCF of each pair of terms, which would be
$5q(2q+1) + 2(2q+1)$
Now use distributive property =
$(5q+2)(2q+1)$
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