Pre-Algebra Examples

$a^{2} + 3 a - 10$

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 $3$ .

$- 2, 5$

Step 2

Write the factored form using these integers.

$(a - 2) (a + 5)$