Find the Perfect Square Trinomial z^2+12z

$z^{2} + 12 z$

Step 1

To find the $c$ value $c = {(\frac{b}{2})}^{2}$ , divide the coefficient of $z$ by $2$ and square the result.

Divide $12$ by $2$ .

$6^{2}$

Raise $6$ to the power of $2$ .

$36$

Step 2

Add $36$ to get the perfect square trinomial.

$z^{2} + 12 z + 36$