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Precalculus Examples

z^{2} + 6 z

$z^{2} + 6 z$

Step 1

To find the

c

$c$ value

c = {(\frac{b}{2})}^{2}

$c = {(\frac{b}{2})}^{2}$ , divide the coefficient of

z

$z$ by

2

$2$ and square the result.

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Step 1.1

Divide

6

$6$ by

2

$2$ .

3^{2}

$3^{2}$

Step 1.2

Raise

3

$3$ to the power of

2

$2$ .

9

$9$

9

$9$

Step 2

Add

9

$9$ to get the perfect square trinomial.

z^{2} + 6 z + 9

$z^{2} + 6 z + 9$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$