Algebra Examples

x^{2} - 6 x - 7

$x^{2} - 6 x - 7$

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

- 7

$- 7$ and whose sum is

- 6

$- 6$ .

- 7, 1

$- 7, 1$

Step 2

Write the factored form using these integers.

(x - 7) (x + 1)

$(x - 7) (x + 1)$