Find the Perfect Square Trinomial x^2+5x+c

$x^{2} + 5 x + c$

Step 1

Move $5 x$ .

$x^{2} + c + 5 x$

Step 2

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 $\frac{5}{2}$ .

$\frac{5^{2}}{2^{2}}$

Raise $5$ to the power of $2$ .

$\frac{25}{2^{2}}$

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

$\frac{25}{4}$