Algebra Examples

x^{2} + 2 x - 48

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

Step 1

Consider the form

x^{2} + b x + c

$x^{2} + b x + c$ . Find a pair of integers whose product is

c

$c$ and whose sum is

b

$b$ . In this case, whose product is

- 48

$- 48$ and whose sum is

2

$2$ .

- 6, 8

$- 6, 8$

Step 2

Write the factored form using these integers.

(x - 6) (x + 8)

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