Algebra Examples

$a^{2} + a - 12$

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 $1$ .

$- 3, 4$

Step 2

Write the factored form using these integers.

$(a - 3) (a + 4)$