Algebra Examples

$x^{2} - 7 x - 60$

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 $- 60$ and whose sum is $- 7$ .

$- 12, 5$

Step 2

Write the factored form using these integers.

$(x - 12) (x + 5)$