Algebra Examples

x^{2} - 10 x + 16

$x^{2} - 10 x + 16$

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

16

$16$ and whose sum is

- 10

$- 10$ .

- 8, - 2

$- 8, - 2$

Step 2

Write the factored form using these integers.

(x - 8) (x - 2)

$(x - 8) (x - 2)$