Precalculus Examples

$3 w - 18 + w^{2}$

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 $- 18$ and whose sum is $3$ .

$- 3, 6$

Step 2

Write the factored form using these integers.

$(w - 3) (w + 6)$