Find the Perfect Square Trinomial t^2+7t

$t^{2} + 7 t$

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 $\frac{7}{2}$ .

$\frac{7^{2}}{2^{2}}$

Raise $7$ to the power of $2$ .

$\frac{49}{2^{2}}$

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

$\frac{49}{4}$

Step 2

Add $\frac{49}{4}$ to get the perfect square trinomial.

$t^{2} + 7 t + \frac{49}{4}$