Find the Perfect Square Trinomial x^2+13x

$x^{2} + 13 x$

Step 1

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 $\frac{13}{2}$ .

$\frac{13^{2}}{2^{2}}$

Raise $13$ to the power of $2$ .

$\frac{169}{2^{2}}$

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

$\frac{169}{4}$

Step 2

Add $\frac{169}{4}$ to get the perfect square trinomial.

$x^{2} + 13 x + \frac{169}{4}$