Algebra Examples

Factorise $x^{2} + 5 x + 6$

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 $6$ and whose sum is $5$ .

$2, 3$

Step 2

Write the factored form using these integers.

$(x + 2) (x + 3)$