Algebra Examples

$32 + 18 r + r^{2}$

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 $32$ and whose sum is $18$ .

$2, 16$

Step 2

Write the factored form using these integers.

$(r + 2) (r + 16)$