Algebra Examples

$a^{2} + 14 a + 48$

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 $48$ and whose sum is $14$ .

$6, 8$

Step 2

Write the factored form using these integers.

$(a + 6) (a + 8)$