Algebra Examples

$\frac{x^{2} + 7 x + 12}{3 x - 4}$

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 $12$ and whose sum is $7$ .

$3, 4$

Step 2

Write the factored form using these integers.

$\frac{(x + 3) (x + 4)}{3 x - 4}$