Calculus Examples

$x^{2} - 22 x + 117$

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 $117$ and whose sum is $- 22$ .

$- 13, - 9$

Step 2

Write the factored form using these integers.

$(x - 13) (x - 9)$