Algebra Examples

$a^{2} - a - 90$

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 $- 90$ and whose sum is $- 1$ .

$- 10, 9$

Step 2

Write the factored form using these integers.

$(a - 10) (a + 9)$