Algebra Examples

x^{2} - 11 x + 30

$x^{2} - 11 x + 30$

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

30

$30$ and whose sum is

- 11

$- 11$ .

- 6, - 5

$- 6, - 5$

Step 2

Write the factored form using these integers.

(x - 6) (x - 5)

$(x - 6) (x - 5)$