Precalculus Examples

$4 x^{2} + 8 x$

Factor out the $4$

$4 (x^{2} + 2 x)$

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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Divide $2$ by $2$ .

$1^{2}$

One to any power is one.

$1$

Add $1$ to get the perfect square trinomial.

$4 (x^{2} + 2 x + 1)$

Simplify.

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Apply the distributive property.

$4 x^{2} + 4 (2 x) + 4 \cdot 1$

Simplify.

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Multiply $2$ by $4$ .

$4 x^{2} + 8 x + 4 \cdot 1$

Multiply $4$ by $1$ .

$4 x^{2} + 8 x + 4$

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