Algebra Examples

x^{2} + 13 x + 42

$x^{2} + 13 x + 42$

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

42

$42$ and whose sum is

13

$13$ .

6, 7

$6, 7$

Step 2

Write the factored form using these integers.

(x + 6) (x + 7)

$(x + 6) (x + 7)$