Algebra Examples

x^{2} + 12 x + 27

$x^{2} + 12 x + 27$

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

27

$27$ and whose sum is

12

$12$ .

3, 9

$3, 9$

Step 2

Write the factored form using these integers.

(x + 3) (x + 9)

$(x + 3) (x + 9)$