Answer
$(y^{2}-4)(y+11)$
Work Step by Step
$y^{3} + 11y^{2} - 4y - 44$
Group the first two and last two terms together.
$(y^{3} + 11y^{2}) - (4y - 44)$
Factor out the GCF from the first two and last two terms
$y^{2}(y+11) -4(y+11)$
Take the common (y+11) and factor it out
$(y^{2}-4)(y+11)$