Find the Perfect Square Trinomial x^2-16x

$x^{2} - 16 x$

Step 1

To find the $c$ value $c = {(\frac{b}{2})}^{2}$ , divide the coefficient of $x$ by $2$ and square the result.

Divide $16$ by $2$ .

${(- 1 \cdot 8)}^{2}$

Multiply $- 1$ by $8$ .

${(- 8)}^{2}$

Raise $- 8$ to the power of $2$ .

$64$

Step 2

Add $64$ to get the perfect square trinomial.

$x^{2} - 16 x + 64$