Algebra Examples

$a^{2} + 10 a + 24$

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 $24$ and whose sum is $10$ .

$4, 6$

Step 2

Write the factored form using these integers.

$(a + 4) (a + 6)$