Algebra Examples

x^{2} - 10 x + 24

$x^{2} - 10 x + 24$

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

- 10

$- 10$ .

- 6, - 4

$- 6, - 4$

Step 2

Write the factored form using these integers.

(x - 6) (x - 4)

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