Basic Math Examples

$z^{2} + 7 z + 10$

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 $7$ .

$2, 5$

Step 2

Write the factored form using these integers.

$(z + 2) (z + 5)$