Answer
$(y-2)(y+2)(y+11)$
Work Step by Step
$y^{3}+11y^{2}-4y-44=$
...factor out the GCF out of each pair of terms.
$=y^{2}(y+11)-4(y+11)$
...use the Distributive Property.
$=(y^{2}-4)(y+11)$
...write $y^{2}-4$ as a difference of two squares.
$=(y-2)(y+2)(y+11)$