Algebra Examples

$x^{2} - 11 x + 24$

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 $24$ and whose sum is $- 11$ .

$- 8, - 3$

Step 2

Write the factored form using these integers.

$(x - 8) (x - 3)$