Find the Perfect Square Trinomial x^2+11x+n

$x^{2} + 11 x + n$

Move $11 x$ .

$x^{2} + n + 11 x$

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

Apply the product rule to $\frac{11}{2}$ .

$\frac{11^{2}}{2^{2}}$

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

$\frac{121}{2^{2}}$

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

$\frac{121}{4}$