Algebra Examples

$y^{2} - y - 12$

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 $- 1$ .

$- 4, 3$

Step 2

Write the factored form using these integers.

$(y - 4) (y + 3)$