Find the Perfect Square Trinomial x^2+bx

$x^{2} + b x$

Step 1

Reorder $x^{2}$ and $b x$ .

$b x + x^{2}$

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 $\frac{b}{2}$ .

$\frac{b^{2}}{2^{2}}$

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

$\frac{b^{2}}{4}$

Step 3

Add $\frac{b^{2}}{4}$ to get the perfect square trinomial.

$x^{2} + b x + \frac{b^{2}}{4}$