Algebra Examples

$y^{2} - 12 y + 35$

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 $- 12$ .

$- 7, - 5$

Step 2

Write the factored form using these integers.

$(y - 7) (y - 5)$