Algebra Examples

$F (X) = x^{2} - 5 x + 6$

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 $6$ and whose sum is $- 5$ .

$- 3, - 2$

Step 2

Write the factored form using these integers.

$F (X) = (x - 3) (x - 2)$