Algebra Examples

$n^{2} + 7 n + 12$

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.

$(n + 3) (n + 4)$