Pre-Algebra Examples

$v^{2} - 7 v + 12$

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 $- 7$ .

$- 4, - 3$

Step 2

Write the factored form using these integers.

$(v - 4) (v - 3)$