Pre-Algebra Examples

$\frac{w - 14}{w^{2} - 2 w - 15}$

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 $- 15$ and whose sum is $- 2$ .

$- 5, 3$

Step 2

Write the factored form using these integers.

$\frac{w - 14}{(w - 5) (w + 3)}$