Algebra Examples

x^{2} - 8 x + 12

$x^{2} - 8 x + 12$

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

12

$12$ and whose sum is

- 8

$- 8$ .

- 6, - 2

$- 6, - 2$

Step 2

Write the factored form using these integers.

(x - 6) (x - 2)

$(x - 6) (x - 2)$