Trigonometry Examples

$f (t) = t^{2} + 10 t + 21$

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 $21$ and whose sum is $10$ .

$3, 7$

Step 2

Write the factored form using these integers.

$f (t) = (t + 3) (t + 7)$