Algebra Examples

x^{2} + 5 x - 6

$x^{2} + 5 x - 6$

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

- 6

$- 6$ and whose sum is

5

$5$ .

- 1, 6

$- 1, 6$

Step 2

Write the factored form using these integers.

(x - 1) (x + 6)

$(x - 1) (x + 6)$