Find the Perfect Square Trinomial x^2+22x+ ?

$x^{2} + 22 x +$ ?

Step 1

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

Divide $22$ by $2$ .

$11^{2}$

Raise $11$ to the power of $2$ .

$121$

Step 2

Add $121$ to get the perfect square trinomial.

$x^{2} + 22 x + 121$