Algebra Examples

$y^{2} - 7 y + 10$

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 $10$ and whose sum is $- 7$ .

$- 5, - 2$

Step 2

Write the factored form using these integers.

$(y - 5) (y - 2)$