Answer
$(w+12)^{2}$
Work Step by Step
Given the polynomial
$w^{2}$ + 24w + $12^{2}$
We see that the polynomial has the first and last term squared and the middle term is +2 times the first and last term. Thus it follows the rule of
$a^{2}$ + 2ab + $b^{2}$ = $(a+b)^{2}$
In this polynomial a= w and b= 12
$(w)^{2}$ + 2(w)(12) + $(12)^{2}$ = $(w+12)^{2}$
