Pre-Algebra Examples

$d^{2} + 17 d + 30$

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 $30$ and whose sum is $17$ .

$2, 15$

Step 2

Write the factored form using these integers.

$(d + 2) (d + 15)$