Algebra Examples

x^{2} + 13 x + 36

$x^{2} + 13 x + 36$

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

36

$36$ and whose sum is

13

$13$ .

4, 9

$4, 9$

Step 2

Write the factored form using these integers.

(x + 4) (x + 9)

$(x + 4) (x + 9)$