Algebra Examples

$x^{2} - 3 x + 2$

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 $2$ and whose sum is $- 3$ .

$- 2, - 1$

Step 2

Write the factored form using these integers.

$(x - 2) (x - 1)$