Algebra Examples

x^{2} + 3 x - 40

$x^{2} + 3 x - 40$

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

- 40

$- 40$ and whose sum is

3

$3$ .

- 5, 8

$- 5, 8$

Step 2

Write the factored form using these integers.

(x - 5) (x + 8)

$(x - 5) (x + 8)$