Algebra Examples

$x^{2} - x - 56$

Step 1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 56$ and whose sum is $- 1$ .

$- 8, 7$

Step 2

Write the factored form using these integers.

$(x - 8) (x + 7)$