Algebra Examples

$y^{2} + 8 y + 15$

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 $15$ and whose sum is $8$ .

$3, 5$

Step 2

Write the factored form using these integers.

$(y + 3) (y + 5)$