Precalculus Examples

$x^{2} + 3 x$

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

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Apply the product rule to $\frac{3}{2}$ .

$\frac{3^{2}}{2^{2}}$

Raise $3$ to the power of $2$ .

$\frac{9}{2^{2}}$

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

$\frac{9}{4}$

Add $\frac{9}{4}$ to get the perfect square trinomial.

$x^{2} + 3 x + \frac{9}{4}$

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