Algebra Examples

$k^{2} - 17 k + 72$

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 $72$ and whose sum is $- 17$ .

$- 9, - 8$

Step 2

Write the factored form using these integers.

$(k - 9) (k - 8)$