Answer
$(x+11)(5x+1)$
Work Step by Step
$5x^{2}+56x+11=$
... ... Searching for two factors of $ac=+55$ whose sum is $b=+56,$
we find$\qquad+55$ and $+1.$
Rewrite the middle term and factor in pairs:
$=5x^{2}+55x+x+11=$
$=5x(x+11)+(x+11)$
= $(x+11)(5x+1)$
