Calculus Examples

$t^{2} - 8 t + 12$

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 $12$ and whose sum is $- 8$ .

$- 6, - 2$

Step 2

Write the factored form using these integers.

$(t - 6) (t - 2)$