Algebra Examples

$x^{2} + 2 x - 48$

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 $- 48$ and whose sum is $2$ .

$- 6, 8$

Step 2

Write the factored form using these integers.

$(x - 6) (x + 8)$