Algebra Examples

x^{2} + 2 x - 24

$x^{2} + 2 x - 24$

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

- 24

$- 24$ and whose sum is

2

$2$ .

- 4, 6

$- 4, 6$

Step 2

Write the factored form using these integers.

(x - 4) (x + 6)

$(x - 4) (x + 6)$