Algebra Examples

$b^{2} + 8 b + 7$

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 $7$ and whose sum is $8$ .

$1, 7$

Step 2

Write the factored form using these integers.

$(b + 1) (b + 7)$