Finite Math Examples

$f (x) = - x^{2} + 4$

Step 1

Rewrite $4$ as $2^{2}$ .

$f (x) = - x^{2} + 2^{2}$

Step 2

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

$f (x) = 2^{2} - x^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 2$ and $b = x$ .

$f (x) = (2 + x) (2 - x)$