Basic Math Examples

$\frac{z^{2} + 1}{z^{2} - 4 z - 5}$

Step 1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 5$ and whose sum is $- 4$ .

$- 5, 1$

Step 2

Write the factored form using these integers.

$\frac{z^{2} + 1}{(z - 5) (z + 1)}$