Algebra Examples

$x^{2} - 3 x - 54$

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 $- 54$ and whose sum is $- 3$ .

$- 9, 6$

Step 2

Write the factored form using these integers.

$(x - 9) (x + 6)$