Algebra Examples

$b^{2} - 6 b + 8$

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 $8$ and whose sum is $- 6$ .

$- 4, - 2$

Step 2

Write the factored form using these integers.

$(b - 4) (b - 2)$