Pre-Algebra Examples

$b^{2} - 2 b - 35$

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 $- 35$ and whose sum is $- 2$ .

$- 7, 5$

Step 2

Write the factored form using these integers.

$(b - 7) (b + 5)$