Algebra Examples

$\frac{n^{2} + 13 n + 40}{8 n}$

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 $40$ and whose sum is $13$ .

$5, 8$

Step 2

Write the factored form using these integers.

$\frac{(n + 5) (n + 8)}{8 n}$