Find the Perfect Square Trinomial x^2+7x+c

$x^{2} + 7 x + c$

Step 1

Move $7 x$ .

$x^{2} + c + 7 x$

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 $\frac{7}{2}$ .

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

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

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

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

$\frac{49}{4}$