Find the Perfect Square Trinomial t^2+5t+

$t^{2} + 5 t +$

Step 1

To find the $c$ value $c = {(\frac{b}{2})}^{2}$ , divide the coefficient of $t$ 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 $2$ .

$\frac{25}{4}$

Step 2

Add $\frac{25}{4}$ to get the perfect square trinomial.

$t^{2} + 5 t + \frac{25}{4}$