Answer
$(b+10)(b+8)$.
Work Step by Step
The given polynomial is
$=b^2+18b+80$
Rewrite $18b$ as $10b+8b$.
$=b^2+10b+8b+80$
Group the terms.
$=(b^2+10b)+(8b+80)$
Factor each group.
$=b(b+10)+8(b+10)$
Factor out $(b+10)$.
$=(b+10)(b+8)$
Hence, the factor of the polynomial is $(b+10)(b+8)$.