Algebra Examples

$y^{2} - 18 y + 77$

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 $77$ and whose sum is $- 18$ .

$- 11, - 7$

Step 2

Write the factored form using these integers.

$(y - 11) (y - 7)$