Basic Math Examples

$\frac{z^{2} + 17}{z^{2} - 5 z - 14}$

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 $- 14$ and whose sum is $- 5$ .

$- 7, 2$

Step 2

Write the factored form using these integers.

$\frac{z^{2} + 17}{(z - 7) (z + 2)}$