Algebra Examples

$y^{2} - 10 y + 24$

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 $24$ and whose sum is $- 10$ .

$- 6, - 4$

Step 2

Write the factored form using these integers.

$(y - 6) (y - 4)$